SOLUTION: The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle.

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Question 1144725: The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle.
Answer by ikleyn(52787) About Me  (Show Source):
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The measure of the supplement of an angle is 40 more than two times the measure of the complement of highlight%28cross%28an%29%29 the angle.
Find the measure of the angle.
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Let x be the measure of the angle (the value under the question).


Then the supplement of the angle is 180-x degrees, while

     the complement of the angle is  90-x degrees,


and we are given that

     180-x = 2*(90-x) + 40.


Simplify and solve for x


     180 - x = 2*90 - 2x + 40

     180 - x = 180 - 2x + 40

     2x  - x = 40

      x      = 40  degrees.      ANSWER

Solved.