Question

find the unknown angle measure.
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x = °

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, the exterior angle is \(71^{\circ}\), and the two non - adjacent interior angles are \(33^{\circ}\) and \(x^{\circ}\). So, we have the equation \(71=x + 33\).

Step2: Solve for \(x\)

Subtract \(33\) from both sides of the equation \(71=x + 33\). Using the subtraction property of equality \(x=71 - 33\).

Answer:

\(38\)