82.0k views
2 votes
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

User Vignesh I
by
7.6k points

1 Answer

5 votes
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.
User MrFox
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories