Question

1. if ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to \(90^\circ\), so \(m\angle2 + m\angle3 = 90^\circ\).

Step2: Substitute \(m\angle2 = 24^\circ\)

\(24^\circ + m\angle3 = 90^\circ\).

Step3: Solve for \(m\angle3\)

\(m\angle3 = 90^\circ - 24^\circ = 66^\circ\).

Answer:

\(66^\circ\)