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

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Question 944937: An angle measures 148° more than the measure of a supplementary angle. What is the measure of each angle?
Found 2 solutions by rfer, macston:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+148=180
2x=180-148
x=32/2
x=16
x+148=164

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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 ANSWER 1:The larger angle is 164 degrees
Smaller=A-148 degrees=164 degrees-148 degrees=16 degrees ANSWER 2: The smaller angle is 16 degrees.
The supplementary angles with a difference of 148 degrees are 164 degrees and 16 degrees.