Question 1057823
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.