SOLUTION: The sum of a complement of an angle and the supplement of the same angle is thirteen times the size of the original angle. Find the size of th original angle? Can anybody help m

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Question 380218: The sum of a complement of an angle and the supplement of the same angle is thirteen times the size of the original angle. Find the size of th original angle?
Can anybody help me out with this one?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the original angle, (90°-x)its complement and (180°-x) its supplement

Write as we Read***

(90°-x) + (180°-x) = 13x

solving for x

270° - 2x = 13x

270° = 15x

 18° = x



CHECKING our Answer***

72° + 162° = 234° = 13*18°