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.

let 2nd angle = x then 1st angle = 2x-15 then you have 90 = x + 2x-152x +x = 3x so now 90 = 3x-15add 15 to each side105=3xx = 105/3 = 351st angle = 35 degrees 2nd angle = 2(35) - 15 = 70-15 = 65