SOLUTION: If the sum of the measures of two angles is 90 degrees, the angles are complementary. Thus, if the measure of an angle is A degrees, the measure of the compliment is (90 - A)degre

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Question 986929: If the sum of the measures of two angles is 90 degrees, the angles are complementary. Thus, if the measure of an angle is A degrees, the measure of the compliment is (90 - A)degrees. Find an angle whose measure is 3 greater than twice the measure of its compliment.
Answer by ikleyn(52787) About Me  (Show Source):
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Let  x  be the measure of the unknown angle (in degrees).

Then the measure of its complement is  (90° - x),  and we have an equation

x - 3 = 2(90-x).

Solve it:

x - 3 = 180 - 2x,

x + 2x = 180 + 3

3x = 183

x = 183%2F3 = 61.

Answer.  61°.