An angle measure is 6 degrees more than 3 times its compliment. find the measure of the angle.

Let the first angle be A and the second be B.

Complementary angles add up to 90° so:

A + B = 90

We are also told:

A = 6 + 3B; substituting this into the first equation:

6 + 3B + B = 90

B = 21°

A = 6 + 3 (21)

A = 69°