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which equation can be used to find the value of x? x = 60 - 40 x + 40 +…

Question

which equation can be used to find the value of x? x = 60 - 40 x + 40 + 60 = 360 x + 40 + 60 = 180 x = 60 + 40 exterior angle = non - adjacent interior angle + non - adjacent interior angle

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: Identify non - adjacent interior angles

The non - adjacent interior angles to the exterior angle \(x\) are \(40^{\circ}\) and \(60^{\circ}\).

Step3: Write the equation

So, \(x = 40+60\).

Answer:

\(x = 60 + 40\)