Question

find the measure of

Explanation:

Step1: Use the property of angles in a triangle.

The sum of interior angles of a triangle is 180°. First, find the third - angle in the triangle with angles 120° and 50°. Let the third - angle be \(x\). Then \(x=180-(120 + 50)=180 - 170=10^{\circ}\).

Step2: Use the property of vertical angles.

The angle \(z\) and the angle \(x\) are vertical angles. Vertical angles are equal. So \(z = 10^{\circ}\).

Answer:

\(10\)