Question 1128260
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<pre>
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 = {{{(6*180)/7}}} degrees = {{{154}}}{{{2/7}}} degrees.    <U>ANSWER</U>
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