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find the measure of ∠x. m∠x = □°

Question

find the measure of ∠x. m∠x = □°

Explanation:

Step1: Find the exterior - angle of the triangle.

The exterior - angle of the triangle corresponding to the non - adjacent interior angles is \(134^{\circ}\). The other non - adjacent interior angle is \(35^{\circ}\).

Step2: Use the exterior - angle property of a triangle.

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the measure of the angle \(x\) be the third non - adjacent interior angle. So, \(x=134^{\circ}-35^{\circ}\).

Step3: Calculate the value of \(x\).

\(x = 99^{\circ}\)

Answer:

\(99\)