Question

The measurement of the supplement of an angle is 7 times the measure of the complement. find the measure of the complement

Answer 1

15⁰

Explanation:

Angke = x

Complement = 90 - x

Supplement = 180 - x

Given:

180 - x = 7 (90 - x)

180 - x = 630 - 7x

6x = 450

x = 75

Complement = 90 - 75 = 15⁰

Answer 2

x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)