Question

two complementary angles differ by 20 find the measure of each angle​

Answer 1

let one angle be x and other be x-20

x+x-20=90

2x-20=90

2x=110

x=55

x-20=35

Answer 2

Answer:

55° and 35°

Explanation:

Let the 1st angle be x.

They differ by 20 so second angle will be x-20.

x+x-20 = 90°   {Complementary angle are the angles whose sum is 90°}

2x-20 = 90°

2x = 90+20

2x= 110°

x = 110/2

x = 55°

1st angle = x = 55°

2nd angle = x-20 = 55-20 = 35°

Therefore the angles are 55° and 35° respectively.