An angle measures 34.6° more than the measure of a complementary angle. What is the measure of each angle?

Complementary angles are two angles that add up to 90°

Therefore, let's call the unknown angle x

And the other angle is x+34.6

The expression can be written like this:

x+x+34.6=90

Subtract 34.6 from both sides.

x+x=55.4

Combine like terms

2x=55.4

Divide by 2 on both sides

55.4/2=27.7

So the unknown angle, x, is 27.7°

The other angle is 62.3° (27.7°+34.6°)