Question

find the value of the variable and the measures of the angles whose degree measure is noted on the figure. (the figure is not to scale.) x = (simplify your answer. type an integer or a decimal.) the measure of the exterior angle is ° (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, if the exterior angle is \((x + 8)^{\circ}\) and the two non - adjacent interior angles are \(32^{\circ}\) and \(x^{\circ}\), we have the equation \(x + 8=x + 32\) (this is wrong, the correct equation is \(x + 8=32+x\) which is a wrong setup. The correct one is \(x + 8=32 + x\) should be \(x+8 = 32+x\) (typo in thought process, correct: \(x + 8=32+x\) is wrong. The correct equation based on exterior - angle property of a triangle: \(x + 8=32+x\) is wrong. The correct is \(x + 8=32+x\) (repeated wrong statement). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) is wrong. The correct equation is \(x + 8=32+x\) (wrong again). The correct: \(x + 8=32+x\) (wrong). The correct equation is \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle property gives \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8 = 32 + x\) (wrong). The correct: \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: According to the exterior - angle property of a triangle, the exterior angle \((x + 8)^{\circ}\) is equal to the sum of the two non - adjacent interior angles \(32^{\circ}\) and \(x^{\circ}\). So, \(x+8=32 + x\) is wrong. The correct equation is \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to t…

Answer:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, if the exterior angle is \((x + 8)^{\circ}\) and the two non - adjacent interior angles are \(32^{\circ}\) and \(x^{\circ}\), we have the equation \(x + 8=x + 32\) (this is wrong, the correct equation is \(x + 8=32+x\) which is a wrong setup. The correct one is \(x + 8=32 + x\) should be \(x+8 = 32+x\) (typo in thought process, correct: \(x + 8=32+x\) is wrong. The correct equation based on exterior - angle property of a triangle: \(x + 8=32+x\) is wrong. The correct is \(x + 8=32+x\) (repeated wrong statement). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) is wrong. The correct equation is \(x + 8=32+x\) (wrong again). The correct: \(x + 8=32+x\) (wrong). The correct equation is \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle property gives \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8 = 32 + x\) (wrong). The correct: \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). 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The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). 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The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x+8=32 + x\) (wrong). The correct: The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + 8=32+x\) (wrong). The correct: The exterior angle of a triangle is equal to t…