Question

the supplement of an angle is one eighth of itself determine the angle and its supplement​

Answer 1

Answer:

Sum of an angle and its supplement is 180o.

Let the angle be 8xo.

Answer 2

Explanation:

Let the measure of an angle be x.

Therefore, it's supplement = (180 - x) degree.

A/Q,

180 - x = 1/8 × x

180 - x = x/8

8 (180 - x) = x

1440 - 8x = x

1440 = x + 8x

1440 = 9x

1440/9 = x

160 = x

Therefore, measure of an angle = x = 160 degree.

It's supplement = (180 - x) = 180 - 160 = 20 degree