Question

for the figure shown, find m∠1. (the figure is not drawn to scale.) m∠1 = 116°

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify non - adjacent interior angles

The two non - adjacent interior angles to ∠1 are 52° and 64°.

Step3: Calculate m∠1

m∠1=52° + 64° = 116°

Answer:

116°