SOLUTION: Angles A and B are complementary angles. Determine the measures of Angle A and B if angle A is four times the size of angle B.

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Question 97920: Angles A and B are complementary angles. Determine the measures of Angle A and B if angle A is four times the size of angle B.
Answer by aaaaaaaa(138) About Me  (Show Source):
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A and B are complementary angles ->
A+%2B+B+=+90
B+=+90+-+A
If A is 4 times the size of B ->
A+=+4B
A+=+4%2A%2890-A%29
A+=+360-4A
5A+=+360
A+=+72
B measures 90-72 degrees, or 18 degrees.