Question

if two complementary angles differ by 20degree, find themeasure of each angle.

Answer 1

X+Y=90 DEGREES.
X=Y+20
(Y+20)+Y=90
2Y=90-20
2Y=70
Y=70/2
Y=35 DEGREES FOR THE SMALLER ANGLE
X=35+20=55 DEGREES FOR THE LARGER ANGLE.
PROOF:
35+55=90
90=90 

Answer 2

complement angle of 20°=90°-20°
=70°