Question

An angle measures 148° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

The sum of supplementary angles is 180 degrees. Let the larger angle=A and the smaller=A-148 degrees

sum=larger+smaller

180 degrees=(A)+ (A-148 degrees) Add 148 degrees to each side

328 degrees=2A Divide each side by 2

164 degrees=A

:The larger angle is 164 degrees

Smaller=A-148 degrees=164 degrees-148 degrees=16 degrees

The smaller angle is 16 degrees.

The supplementary angles with a difference of 148 degrees are 164 degrees and 16 degrees