Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the third - angle be \(m\angle1\). We know two angles are 62° and 57°. So, \(m\angle1+62^{\circ}+57^{\circ}=180^{\circ}\).

Step3: Solve for \(m\angle1\)

\(m\angle1=180^{\circ}-(62^{\circ} + 57^{\circ})\)
\(m\angle1=180^{\circ}-119^{\circ}\)
\(m\angle1 = 61^{\circ}\)

Answer:

61°