Geometry angles

Question

The measure of an angle is 6 degree less than its compliment

Answer 1

If the two angles are A and B, and they are complements, then A + B = 90. But A is 6 degrees less than B so A + 6 = B

Since B = A + 6, we can plug "A + 6" into the first equation wherever we see B, so:

A + (A + 6) = 90

2A + 6 = 90

2A = 84

A = 42

Then since B = A + 6, B = 42 + 6 = 48

The two angles are 42° and 48°