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QUESTION IMAGE

find the value of x.

Question

find the value of x.

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 the triangle is \(124^{\circ}\), and the two non - adjacent interior angles are \(36^{\circ}\) and \(x^{\circ}\). So, \(x + 36=124\).

Step3: Solve for \(x\)

Subtract \(36\) from both sides of the equation: \(x=124 - 36\).

Answer:

\(x = 88\)