SOLUTION: The measure of the complement of an angle is 15 less than half the measure of the angle. What is the measure of the supplement of the angle?
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Question 220652: The measure of the complement of an angle is 15 less than half the measure of the angle. What is the measure of the supplement of the angle? Answer by tutor_paul(519) (Show Source):
You can put this solution on YOUR website! First, find the angle. Let A be the Angle, and C be it's complement.
Since the angles are complimentary, you can write this equation:
Equation #1:
From the information given, you can write this equation:
Equation #2:
You have 2 equations with two unknowns. Solve Equation #1 for C:
Substitute this expression for C into Equation #2:
Solve for A:
Now that you have the angle, you can find its supplement (S) via the following equation:
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Good Luck,
tutor_paul@yahoo.com
