Question

∠1 and ∠2 are complementary angles. given the measure of ∠1, find m∠2. 15. m∠1 = 36° 16. m∠1 = 2°

Explanation:

Step1: Recall complementary - angle property

Complementary angles add up to 90°. So, \(m\angle1 + m\angle2=90^{\circ}\), then \(m\angle2 = 90^{\circ}-m\angle1\).

Step2: Solve for \(m\angle2\) in problem 15

Given \(m\angle1 = 36^{\circ}\), then \(m\angle2=90^{\circ}-36^{\circ}=54^{\circ}\).

Step3: Solve for \(m\angle2\) in problem 16

Given \(m\angle1 = 2^{\circ}\), then \(m\angle2=90^{\circ}-2^{\circ}=88^{\circ}\).

Answer:

1. \(m\angle2 = 54^{\circ}\)
2. \(m\angle2 = 88^{\circ}\)