Question

. The measure of one angle is 7 times the Find the measure of its supplement. measure of each angle.​

Answer 1

22.5°

and

157.5°

Explanation:

Supplementary angles sum 180°

Then:

a = 7b Eq. 1

a + b = 180 Eq. 2

Replacing Eq. 1 in Eq. 2:

7b + b = 180

8b = 180

b = 180/8

b = 22.5°

from Eq. 1:

a = 7*b

a = 7*22.5

a = 157.5°

Check:

from Eq. 2:

a + b = 180

157.5° + 22.5° = 180°