Question

The measures of 2 angles are (2x+2) to the zeroth power and (3x-5) to the zeroth power.

1.) If the angles are complementary, what is the measure of the smaller angle

Answer 1

First of, what you are referring to zeroth power is not that, actually. It is the symbol for degrees.

If the angles are complementary it means they add up to 90 degrees.

Therefore (2x+2) + (3x-5) = 90
2x + 3x +2 -5 = 90
5x - 3 = 90
5x = 90+3.
5x = 93. Divide both sides by 5.
x = 93/5 = 18.6

Therefore: (2x+2) = (2*18.6+2) = 37.2 + 2 = 39.2 degrees.
(3x- 5) = (3*18.6-3) = 55.8 - 3 = 52.8 degrees.
So the measure of the smaller anger is 39.2 degrees.
Cheers.