SOLUTION: The measure of an angle's supplementary angle is 60 degrees more than four times the complement, what is the measure of the described angle?
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Question 325520: The measure of an angle's supplementary angle is 60 degrees more than four times the complement, what is the measure of the described angle? Answer by AAfter Search(61) (Show Source):
You can put this solution on YOUR website! Le the required angle be x degrees.
Supplementary angle of x is 180 - x
Complementary angle of x is 90 - x
Given, 180 - x = 4(90 - x) + 60
=> 180 - x = 360 - 4x + 60
=> 3x = 360 + 60 - 180 = 240
=> x = 240/3 = 80
Hence, the required angle is 80 degrees.
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