SOLUTION: The measure of an angle is nine times the measure of a complementary angle. What is the measure of each angle?

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Question 413622: The measure of an angle is nine times the measure of a complementary angle. What is the measure of each angle?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the smaller of the two angles. Then must represent the larger one. The sum of the measures of two complementary angles is , so:



Just solve for to get one of the angles. Multiply by 9 (or subtract from 90) to get the other.

John

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