SOLUTION: An angle measures 6 times the measure of its supplementary angle. Find the measure of both angles.

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Question 1128260: An angle measures 6 times the measure of its supplementary angle. Find the measure of both angles.
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
supplementary angles add up to 180 degrees
x + 6x = 180
7x = 180 = 25.71
one angle measures 25.71 degrees and the other measures 154.29 degrees
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
Let x the angle measure under the question.

Then its supplementary angle measure is  180 - x degrees.


The equation, from the condition, is


   x = 6*(180-x)


Simplify and solve for x:


    x = 6*180 - 6x

    x + 6x = 6*180

    7x = 6*180

    x =  degrees =  degrees.    ANSWER

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