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.
Let the exterior angle be \(125^{\circ}\), and the two non - adjacent interior angles be \(61^{\circ}\) and \(m\angle1\). So, \(125^{\circ}=61^{\circ}+m\angle1\).

Step2: Solve for \(m\angle1\)

Subtract \(61^{\circ}\) from both sides of the equation: \(m\angle1 = 125^{\circ}-61^{\circ}\).
\(m\angle1=64^{\circ}\)

Answer:

\(64\)