Question

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.

Answer 1

let 2nd angle = x

 then 1st angle = 2x-15

 then you have 90 = x + 2x-15

2x +x = 3x

 so now 90 = 3x-15

add 15 to each side

105=3x

x = 105/3 = 35

1st angle = 35 degrees

 2nd angle = 2(35) - 15 = 70-15 = 65

Answer 2

option a is correct sum of two angles is 90°
2b-15=a
then a+b=90
=>2b-15+b=90
=>3b=105
=>b=35°

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