Question 511989: The supplement of an angle is 30 more than twice the complement of the same angle. What's the angle's measure? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! a = angle
s = supplement of angle a
s = 180-a
c = complement of angle a
c = 90-a
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s = 2c + 30
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s = s, so
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180-a = 2c + 30
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180-a = 2(90-a) + 30
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180 -a = 180 -2a + 30
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a = 30
s = 180-30 = 150
c = 90-30 = 60
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Check the relationship of s and c.
s = 2c + 30 ??
2c + 30 = 2(60)+30 = 120+30 = 150
correct
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Angle = 30 degrees.
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Done.
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