Question

in the figure below, m∠2 = 38°. find m∠1.

Explanation:

Step1: Note angle - sum property

The two angles are complementary, so \(m\angle1 + m\angle2=90^{\circ}\).

Step2: Solve for \(m\angle1\)

\(m\angle1=90^{\circ}-m\angle2\). Substitute \(m\angle2 = 38^{\circ}\), then \(m\angle1=90 - 38\).

Answer:

\(52^{\circ}\)