SOLUTION: If two adjacent angles have a total of 120 degrees and one angle is 5 times larger than the other, what is the size of the larger angle?

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Question 1134174: If two adjacent angles have a total of 120 degrees and one angle is 5 times larger than the other, what is the size of the larger angle?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller angle = +alpha+
The larger angle is +5%2Aalpha+
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+alpha+%2B+5%2Aalpha+=+120+
+6%2Aalpha+=+120+
+alpha+=+20+
and
+5%2Aalpha+=+100+
The larger angle is 100 degrees

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If two adjacent angles have a total of 120 degrees and one angle is 5 times larger than the other, what is the size of the larger angle?
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5 times larger is an increase of 500%, which is 6 times as large.
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A = 1 angle
6A = the other angle.
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A + 6A = 120
A = 120/7 degrees
6A = 720/7 degrees