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)

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 class=

Respuesta :

Answer:

[tex]9^\circ , 171^\circ[/tex]

Step-by-step 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 [tex]9^\circ[/tex].  The supplement is [tex]180^\circ - 9^\circ =171^\circ[/tex]