SOLUTION: An angle measures 12° less than the measure of its supplementary angle. What is the measure of each angle?

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Question 1174351: An angle measures 12° less than the measure of its supplementary angle. What is the measure of each angle?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
Answer by ikleyn(52855) About Me  (Show Source):
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An angle measures 12° less than the measure of its supplementary angle. What is the measure of each angle?
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Let x be the angle measure.

Then the measure of other angle is (x+12) degrees, according to the condition.


Since the angles are supplementary, they sum up to 180 degrees

    
    x + (x+12) = 180


Simplify and solve


    2x = 180 - 12 = 168

     x            = 168/2 = 84.


ANSWER.  The angle measure is 84°.  The other angle is  84° + 12° = 96°.

Solved.

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