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

Mathematics

Ayla

8 November, 15:37

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.

+4

Answers (1)

Know the Answer?

Madelynn Bishop · 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