Question

The complement of an angle is eight times as large as the angle find the measure of the complement

Answer 1

10⁰ , 80⁰

Explanation:

Angle = x

Complement = 90 - c

Given:

90 - x = 8x

9x = 90

x = 10⁰

Complement = 90 - 10 = 80⁰

Answer 2

label the 2 angles, one is x and the other is 8x.
90 = 8x + x
90 = 9x
10 =x
10 times 8 = 80. this is 8x.
10(which is x) + 80 (which is the 8x) = 90.