Answer
The angles measure $35^o$ and $55^o$
Work Step by Step
Let x be the measure of the angle.
The measure of the complement is $x+20$.
Use the definition of complementary angles:
$x+x+20=90$
$2x+20=90$
Subtract 20 from each side:
$2x+20-20=90-20$
$2x=70$
Divide both sides by 2:
$2x\div2=70\div2$
$x=35$
Find the measure of the complement.
$90-35=55$
