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Since two angles are complementary, their measures add up to 90 degrees.
So, (4x)° + (2x)° = 90°
Combining like terms, we get:
6x = 90
Dividing both sides by 6, we find:
x = 15
Substituting the value of x back into the equation, we can determine the measures of the angles:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
Therefore, x = 15, (4x)° = 60°, and (2x)° = 30°.