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the measure of an angles supplement is 44 less than the measure of the angle.
Find the measure of the angle and it’s supplement.
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Let x be the measure of the angle; then the supplementary angle is (180-x) degrees,
and the problem gives us this equation to find x
x - (180-x) = 44 degrees.
Simplify and find x
2x = 44 + 180 = 224
x = 224/2 = 112.
ANSWER. The measure of the angle is 112 degrees; the measure of its supplement is 180 - 112 = 68.
CHECK. The difference of the measures is 112 - 68 = 44 degrees. ! Correct !
Solved.
