Question

find the value of x.

Explanation:

Step1: Find the adjacent interior angle

The exterior angle is \(132^\circ\), so the adjacent interior angle is \(180^\circ - 132^\circ = 48^\circ\).

Step2: Use triangle angle sum

In a triangle, the sum of angles is \(180^\circ\). So \(x + 49^\circ + 48^\circ = 180^\circ\).
Simplify: \(x + 97^\circ = 180^\circ\).
Subtract \(97^\circ\): \(x = 180^\circ - 97^\circ = 83^\circ\).

Answer:

\(83\)