SOLUTION: one of two supplementary angles is 30 degrees greater than twice the other. find the degree measure of each angle?
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Question 551056: one of two supplementary angles is 30 degrees greater than twice the other. find the degree measure of each angle? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! Two angles can be defined as 'a' and 'b'.
They are supplementary, so: a+b=180.
a = 2*b +30
Substitute
2b + 30 +b = 180
3b = 150
b = 50
a = 2*50 + 30 = 130
or
a = 180-50 = 130
.
Answer: The two angles are 50 degrees and 130 degrees.
.
Done.