182k views
2 votes
An angle is 34º more than its compliment. What is the measure of the angle?

a. 649
b. 1240
c. 28°
d. 62°

1 Answer

3 votes
Answer: C. 28°

Explanation:
Two angles are complementary when they add up to 90 degress.

You have two angles. A & B
Equation 1: A+B=90
Equation 2: A+34=B

Solve equation 1 for one of the variables
I solved for A
A=90-B

Now plug (90 - B) into equation 2 for A

(90-B)+34=B Simplify

124-B=B Add B to both sides

124=2B Divide both sides by 2

62=B

Now plug 62 into equation 1 for B

A+62=90
A=28
User Andrew McNamee
by
3.9k points