Question 514302: if the measure of an angle is 4 times more than its complement, waht is the measure of both angles? Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! Call the measurement of the complement X.
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You are told that the angle measure is 4 times the measure of its complement. Therefore, it has the measure 4X.
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By definition, complementary angles are two angles having the sum of their measures equal 90 degrees.
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So, we can write the equation:
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Add the two terms on the left side to get:
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Solve for X by dividing both sides of this equation by 5:
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This tells us that the measure of the complement is 18 degrees. Since the angle we are looking for is 4 times this complement, we multiply 4 times 18 degrees and find that the measure of this unknown angle is 72 degrees.
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Hope this helps you understand this problem.
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