SOLUTION: The sum of the measures of two angles is 180 degree.Three times the measure of an angle is 24 less than the measure of the other angle. What is the measure of each angle?

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Question 1199681: The sum of the measures of two angles is 180 degree.Three times the measure of an angle is 24 less than the measure of the other angle. What is the measure of each angle?
Answer by ikleyn(52834) About Me  (Show Source):
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The sum of the measures of two angles is 180 degree. Three times the measure of highlight%28cross%28an%29%29 one angle
is 24 less than the measure of the other angle. What is the measure of each angle?
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Let x be the measure of the "other" angle,

then (180-x) degrees is the measure of the "one" angle.


From the problem, you have this equation

    3*(180-x) = x - 24.


Simplify and find x

    540 - 3x = x - 24

    540 + 24 = x + 3x

       564   =  4x

         x   = 564/4 = 141.


ANSWER.  The "other" angle is 141 degs.  The "one" angle is 180-141 = 39 degs.

Solved.