Question

The sum of two complementary Angeles 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

x= 2y-15 
x+y = 90 ⇒ x = 90- y
90- y = 2y-15 
3y = 105
y = 35 
x = 65