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3 years ago

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

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

Answer:

12° and 168°

Step-by-step 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

Thepotemich [5.8K]3 years ago

4 0

Answer:

12 AND 168 DEGREES

Step-by-step 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

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