Question

the complementary angles differ by 20 degree . find the measure of each angle. Set up an equation and solve ​

Answer 1

Step-by-step explanation:

let one angle be x

and the other be y

given the angles are complementary therefore x+y = 90.......eq 2

given they differ by 20

therefore x-y = 20......eq 1

Adding eq 1 and 2 we get

2x = 110

x= 55

substituting the value of x in eq 1 we get

y = 90-55

y = 35