Question

An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

12 AND 168 DEGREES

Explanation:

Take supplementary angle as 180-X

Therefore: x={180-x}-156

x= 24-x

2x=24

x=12

Therefore one of the angle = 12 degrees

the other angle = 180-X degree

=180-12

=168 degrees

Answer 2

12° and 168°

Explanation:

If x is the angle, and y is the supplementary angle, then:

x + y = 180

x = y − 156

Solve the system of equations using substitution:

y − 156 + y = 180

2y = 336

y = 168

Plug back into either equation to find x:

x = 12