SOLUTION: If the measure of one angle is 3x and the measure of its complement is 2x, what is the value of x?

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Question 419862: If the measure of one angle is 3x and the measure of its complement is 2x, what is the value of x?

Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are considered complements if their measurements add up to 90 degrees. The sum of your two angles is 3x + 2x which must equal 90 for the angles to be complementary.
3x + 2x = 90
5x = 90 (combining like terms)
x = 18 (dividing both sides by 5)
The answer is x = 18.
Let's check the answer: If x = 18, then the first angle has a measurement of 3x = 3 * 18 = 54; the second angle has a measurement of 2x = 2 * 18 = 36. Since 54 + 36 = 90, the angles are complementary.