Question

find x.

x =

Explanation:

Step1: Find the exterior angle of the triangle

An exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. The exterior angle here is \(96^{\circ}\), and the non - adjacent interior angles are \(x^{\circ}\) and \((31 + 32)^{\circ}\).

Step2: Set up the equation

We have the equation \(96=x+(31 + 32)\).

Step3: Solve the equation

First, calculate \(31+32 = 63\). Then the equation becomes \(96=x + 63\). Subtract 63 from both sides: \(x=96 - 63\).

Answer:

\(x = 33\)