Question 1131250
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<pre>
Let x be the angle measure in degrees.


Then the supplementary angle is (180-x) degrees, while the complementary angle is (90-x) degrees.


Then the problem says


180-x = 6*(90-x)


180 - x = 540 - 6x


6x - x = 540 - 180


5x = 360


x = {{{360/5}}} = 72 degrees.     <U>Answer</U>
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