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MATH SOLVE
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The supplement of an angle is 60 degrees less than twice the supplement of the complement of the ang...
4 months ago
Q:
The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the compliment
Accepted Solution
A:
Answer:70 degrees.Step-by-step explanation:Let the angle be x then:Its supplement is 180-x.Its complement = 90 - x.The supplement of the complement = (180 - (90 - x) = 90 + x.So we have the equation:180 - x = 2(90 + x) Β - 60.180 - x = 180 + 2x - 60- x - 2x = 180 - 180 - 60-3x = -60x = 20 degreesSo the measure of the complement = 90 - 20 = 70 degrees.