Question

the measure of an angle is 8 times the supplementary angle, what is the measure of each angle?

Answer 1

supplement => 180°

Let's take the angle as 'X'

Then,

This angle (x) is 8 times than it's supplement ,

It's supplement angle is = 180 - X

Let's get this into an equation ,

We get,

X = 8 ( 180 - X )

X = 1440 - 8X

9X = 1440

X = 1440 ÷ 9

X = 160

The angle mentioned above is 160°