Question

The difference in the measures of 2 complementary angles is 12, find the measures of the angles

Answer 1

The measures are 39° and 51°.

Explanation:

Let the measures of the angles be x and x - 12.

The sum of the measures of complementary angles is 90°.

x + x - 12 = 90

2x - 12 = 90

2x = 102

x = 51

x - 12 = 39

Answer: The measures are 39° and 51°.