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Question 1057823: Two angles are complementary. If one angle is doubled, the result is 1/2 of the other angle. What are the measures of the angles?
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! Let x represent one of the angles, and let y represent the other angle.
Since the two angles are complementary, you can write:
x + y = 90
Then, since doubling one angle equals half of the other angle, you can write:
2x = y/2
This can be rearranged as:
4x = y
Substituting this into x + y = 90 gives:
x + 4x = 90
5x = 90
x = 18
Then y = 4x = 4(18) = 72
Solution: The angles are 18 and 72 degrees.
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