SOLUTION: The smaller of two supplementary angles is the larger angle divided by 17 Find the measure of each angle.

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Question 408983: The smaller of two supplementary angles is the larger angle divided by 17 Find the measure of each angle.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

supplementary angles

Let x and (180°-x)represent the larger and smaller of the two respectively

Question states***

  (180°-x) = x/17

Solving for x

 17(180°-x) = x

   17*180° = 18x

     170° = x, the larger of the two supplementary angles. the smaller 10° 

 

CHECKING our Answer***

  10° = 170°/17