Question

apply: finding unknown angle measures two angles, ∠1 and ∠2, are complementary angles. the measure of ∠2 is 32° less than the measure of ∠1. what are the measures of the angles? click or tap the correct measure from each drop - down menu. the measure of ∠1 is choose the measure of ∠2 is choose

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to \(90^\circ\). So, \(m\angle1 + m\angle2 = 90^\circ\).

Step2: Substitute \(m\angle2 = 32^\circ\)

\(m\angle1 + 32^\circ = 90^\circ\). Solve for \(m\angle1\): \(m\angle1 = 90^\circ - 32^\circ = 58^\circ\).

Step3: Confirm \(m\angle2\)

Given \(m\angle2 = 32^\circ\) (from problem statement).

Answer:

The measure of \(\angle1\) is \(58^\circ\), the measure of \(\angle2\) is \(32^\circ\)