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

Kelton Reynolds

16 January, 18:36

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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Maxwell Diaz · 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