Question

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

Answer 1

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°