Question

If 41 and 42 are complementary angles and if the measure of 41 is 50° more than the measure of 42, determine the measures of 41 and 42

Answer 1

m∠1 = 70

m∠2 = 20

Explanation:

41 and 42 are complementary angles: m∠1 + m∠2 = 90

measure of 41 is 50° more than the measure of 42: m∠1 = m∠2 + 50

substitute: (m∠2 + 50) + m∠2 = 90

simplify and solve: 2(m∠2) + 50 = 90

2(m∠2) = 40

m∠2 = 20