Question

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

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: Set up the equation

Let the exterior angle be \(127^{\circ}\), and the two non - adjacent interior angles be \(\angle1\) and \(63^{\circ}\). So, \(127^{\circ}=\angle1 + 63^{\circ}\).

Step3: Solve for \(\angle1\)

\(\angle1=127^{\circ}-63^{\circ}\)

Answer:

\(64^{\circ}\)