SOLUTION: The ratio of two complementary angles is 3 : 6. Find the value of 'x' and the measure of each angle.

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Question 548894: The ratio of two complementary angles is 3 : 6. Find the value of 'x' and the measure of each angle.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The two angles can be called 'x' and '90-x'.
This is because complementary angles total 90.
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We are told they have a ratio of 3:6
So, the 90 degrees have been cut into 9 pieces (3+6=9)
Therefore, each piece is 90/9 = 10 degrees.
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x = 3*10 = 30
90-x = 90-30 = 60
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Do they have a ratio of 3:6?
Yes 30/60 = 3/6.
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Answer: x = 30 degrees and the complement of x is 90 - x = 60 degrees.
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Done.