Question

1. ∠1 and ∠2 are complementary. if the measure of ∠1 is 70°, what is the measure of ∠2?

a 20°
b 70°
c 90°
d 110°

Explanation:

Step1: Recall complementary angles

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

Step2: Substitute \(m\angle1 = 70^\circ\)

Substitute into the equation: \(70^\circ + m\angle2 = 90^\circ\).

Step3: Solve for \(m\angle2\)

Subtract \(70^\circ\) from both sides: \(m\angle2 = 90^\circ - 70^\circ = 20^\circ\).

Answer:

A. \(20^\circ\)