Angle measure of the smaller angle in two complement angles = x
Angle measure of the bigger angle = x + 20
Their sum = 90° ( the sum of two complementary angles is always equal to 90° )
This can be written in an equation as =
= x + x + 20 = 90
= 2x + 20 = 90
= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )
= 2x = 70
= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )
= x = 35
Then the value of the smaller angle = x = 35°
The value of the bigger angle = x + 20 = 35 + 20 = 55°
Therefore , the measure of degrees in the the smaller angle is :
1. 35°