Question

∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1

Answer 1

∠1 = 72°

Explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°