Question 1131250
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The supplement of an angle is 90 degrees more than the complement of the same angle.  Since we are told that the supplement is 6 times the complement, if x is the measure of the complement then<br>
{{{6x = 90+x}}}
{{{5x = 90}}}
{{{x = 18}}}<br>
The complement of the angle is 18 degrees; so the angle is 90-18 = 72 degrees.