Question

Can somebody help me solve this?

"The measures of two complementary angles are 6y + 3 and 4y - 13. Find the measures of the angles."

Answer 1

The measures of two complementary angles are 63° , 27°

Explanation:

The measures of two complementary angles are 6y + 3 and 4y - 13.

Sum of complementary angles = 90°

6y + 3 + 4y - 13 = 90°

10y - 10 = 90°

10y = 90 + 10 = 100

10 y = 100

y = 100/10 = 10

One angle = 6y + 3 = 6 * 10 + 3 = 60 + 3 = 63

other angle = 4y - 13 = 4 * 10 - 13 = 40 - 13 = 27

The angles are 63° , 27°