The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.

Question

Cindy Curtis

Mathematics

23 June, 12:21

The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.

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Ashlynn Zamora · Answer 1

A + b = 90

a = 2b - 15

2b - 15 + b = 90

3b - 15 = 90

3b = 90 + 15

3b = 105

b = 105/3

b = 35 < = = second angle

a = 2b - 15

a = 2 (35) - 15

a = 70 - 15

a = 55 < = = first angle