Question

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

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 \(118^{\circ}\), and the two non - adjacent interior angles be \(57^{\circ}\) and \(\angle1\). So, \(118^{\circ}=57^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

We can find \(\angle1\) by subtracting \(57^{\circ}\) from \(118^{\circ}\). That is, \(\angle1 = 118^{\circ}-57^{\circ}\).
\(\angle1=61^{\circ}\)

Answer:

\(61\)