Question 158634
    the questions says: The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and it's supplement.
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The key hinges on knowing the definition of "supplement".
Two angles are supplementary if the sum of the two angles equals 180.
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Let x = measure of the angle
then
180-x = supplement of the angle
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Then from: "The measure of an angle's supplement is 24 less than twice the measure of the angle" we get
180-x = 2x-24
180 = 3x-24
204 = 3x
68 degrees = x
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supplement then is
180-68 = 112 degrees