Question

1. ∠a and ∠b are complementary angles, if the measure of ∠a is 42°, find the measure of ∠b.

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let \(m\angle A + m\angle B=90^{\circ}\).

Step2: Substitute the value of \(\angle A\)

Given \(m\angle A = 42^{\circ}\), then \(42^{\circ}+m\angle B = 90^{\circ}\).

Step3: Solve for \(m\angle B\)

\(m\angle B=90^{\circ}- 42^{\circ}=48^{\circ}\)

Answer:

\(48^{\circ}\)