# SOLUTION: the ratio of the measures of two supplementary angles is 5:3. Find the measures of the angles.

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Question 242775: the ratio of the measures of two supplementary angles is 5:3. Find the measures of the angles.Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!5:3=X:(180-X) 3X=5(180-X) 3X=900-5X 3X+5X=900 8X=900 X=900/8 X-112.5 ANS. 180-112.5=67.5 ANS. ------------------------------------- OR: THERE ARE 8 PARTS (5+3=8) WITHIN THE 180 DEGREES. 180/8=22.5 IS THE VALUE OF EACH PART. 3*22.5=67.5 DEGREES FOR THE SMALLER ANGLE. 5*22.5=112.5 DEGREES FOR THE LARGER ANGLE. ------------------------------------------- PROOF: 67.5+112.5=180 180=180