Question 1139370
x = the angle 
90 - x = the complement {complementary angles add up to 90}
180 - x = the supplement   {supplementary angles add up to 180}


90 - x = (1/6)(180 - x)  {the complement is 1/6 times the supplement}
540 - 6x = 180 - x   {multiplied entire equation by 6 to eliminate fraction}
360 = 5x {added 6x and subtracted 180 to and from each side}
x = 72 {divided each side by 6}


The angle is 72.


90 - x = 18


The complement is 18.
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