SOLUTION: two angles are complementary. if one measures 18 degrees more than twice the measure of the other, find the measure of each angle
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Question 500130: two angles are complementary. if one measures 18 degrees more than twice the measure of the other, find the measure of each angle Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! Complementary angles total 90 degrees.
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A = one angle
B = another angle.
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A+B = 90 because they are complementary.
So, A = 90-B.
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A = 2B + 18
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A = A
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90-B = 2B + 18
90 = 3B + 18
72 = 3B
3B = 72
B = 24
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A = 90-B
A = 90-24
A = 66
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Always check your work.
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2B+ 18 = 2(24) + 18 = 48+18 = 66
Correct.
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Answer:
The two angles are: 24 and 66.
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Done.
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