SOLUTION: An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.

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Question 1121918: An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.
Answer by ikleyn(52788) About Me  (Show Source):
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Let x be the angle measure.


Then the supplement angle is 180 - x degrees.


The condition says


    x = 3*(180-x) - 12.


Simplify and solve for x.


    x = 540 -3x - 12


    4x = 528  ====>   x = 528%2F4 = 132 degrees.


Answer.  The angle is 132 degrees.

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