Question

a side of the triangle below has been extended to form an exterior angle of 67°. find the value of x. answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

We know that the exterior angle of 67° is equal to the sum of the two non - adjacent interior angles. Let the two non - adjacent interior angles be 50° and \(x\). So, \(x + 50^{\circ}=67^{\circ}\).

Step3: Solve for \(x\)

Subtract 50° from both sides of the equation: \(x=67^{\circ}-50^{\circ}\).

Answer:

\(17^{\circ}\)