SOLUTION: Find the measure of an angle if the measures of a supplement and a complement of the angle are in a ratio of 5:2

Question 406829: Find the measure of an angle if the measures of a supplement and a complement of the angle are in a ratio of 5:2
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Let x,(90�-x),(180�-x) represent the angle, its complement and sumpplement respectively

Question states***



Solving for x by cross multiplying

 5(90-x)=2(180-x)

   450-5x = 360 - 2x

      90� = 3x

       x = 30�

CHECKING our Answer***

  5/2 = 150/60  

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