One of two complementary angles is 12 degrees greater than the other. Find the measure of the larger angle.

39,51

Step-by-step explanation:

Complementary angles add to 90 degrees

Let one angle be x

The other angle is x+12

x + x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide each side by 2

2x/2 = 78/2

x = 39

The other angle is 39+12 = 51