Question

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

Answer 1

Let one of the angles is x then other is x+20

We are given, x+x+20 = 90°
                       2x+20 = 90°
              so, 2x = 70°
              so, x =35°
so Angles are 35° and 55°

Answer 2

Let one complementry angle be x and another y
x+y=90° _______(i)
x-y = 20°________(ii)

Adding both equations
2x=110°
x=110°/2=55°

y=90°-55°=35°