SOLUTION: 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?

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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