Question

An angle measures 162° less than the measure of its supplementary angle. What is the measure of each angle? ( i need two answers please help see the pic)

Answer 1

`9^\circ , 171^\circ`

Explanation

If a represents the measure of the angle, then 180 - a is the measure of its supplement. (Supplements add up to 180 degrees.)

The sentence in the problem translates to an equation:

a = (180 - a) - 162

Simplify the right side.

a = 18 - a

Add a.

2a = 18

a = 9

The angle's measure is
`9^\circ`. The supplement is
`180^\circ - 9^\circ =171^\circ`