SOLUTION: one of two supplementary angles exceeds 5 times the other angle by 12 degrees. find the measurement of the smaller angle.
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Question 1012175: one of two supplementary angles exceeds 5 times the other angle by 12 degrees. find the measurement of the smaller angle. Answer by macston(5194) (Show Source):
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S=smaller angle L=larger angle=5S+12
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S+L=180
S+5S+12=180
6S=168
S=28
ANSWER: The smaller angle is 28 degrees
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CHECK:
L=5S+12
L=5(28)+12
L=140+12
L=152
The larger angle is 152 degrees.
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L+S=180
152+28=180
180=180
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