## Geometry: Common Core (15th Edition)

The angles measure $35^o$ and $55^o$
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. $90-35=55$