# SOLUTION: If an angle is 42 degrees less than its supplement, find each angle.

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 Question 462209: If an angle is 42 degrees less than its supplement, find each angle.Answer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!If an angle is 42 degrees less than its supplement, find each angle. ========================================== . Two angles are supplements if their measures add to 180 degrees. . Let x = the measure of the first angle . The second angle is 42 less than x. An algebraic expression for the second angle is x-42 since the second angle is 42 less than the first angle. . We also know that the two angles are a supplementary pair. Their measures add up to 180 degrees. We can translate this English sentence into an equation: x + (x-42) = 180 . Now we solve for x. x + (x-42) = 180 . Combine like terms. 2x - 42 = 180 . Add 42 to both sides 2x = 180 + 42 . Combine like terms and divide both sides by 2. 2x = 222 x = 111 . The measure of the first angle is 111 degrees. . We know that the second angle is 42 degrees less, so the second angle is 111 - 42 = 69 degrees. . We see that these two angles are supplementary because 111 + 69 = 180. . Hope this helps! . Ms.Figgy math.in.the.vortex