Question

find the value of x.

Explanation:

Step1: Find the interior - angle adjacent to 127°

The interior - angle adjacent to 127° and 127° form a linear pair. So the measure of this interior - angle is \(180 - 127=53^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the three interior angles of the triangle be \(x\), 79°, and 53°. Then \(x + 79+53 = 180\).
We can rewrite the equation as \(x=180-(79 + 53)\).
First, calculate \(79+53 = 132\). Then \(x=180 - 132\).

Answer:

\(x = 48\)