# SOLUTION: the sum of the measures of two obtuse angles is 215,the sum of 3/5 of the supplement of the smaller angle and 2/3 the supplement of larger angle is 91. find the measure of the angl

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 Click here to see ALL problems on Angles Question 631521: the sum of the measures of two obtuse angles is 215,the sum of 3/5 of the supplement of the smaller angle and 2/3 the supplement of larger angle is 91. find the measure of the angles.Answer by MathTherapy(1817)   (Show Source): You can put this solution on YOUR website! the sum of the measures of two obtuse angles is 215,the sum of 3/5 of the supplement of the smaller angle and 2/3 the supplement of larger angle is 91. find the measure of the angles. Let larger angle be L, and smaller S Then: L + S = 215 ---- L = 215  S ------ eq (i) Supplement of the larger angle = 180  L Supplement of the smaller angle = 180  S ---- 3(540  3S) + 5(360  2L) = 1,365 ------ Multiplying by LCD, 15 1,620  9S + 1,800  10L = 1,365  10L  9S = - 2,055 ------ eq (ii) - 10(215  S)  9S = - 2,055 ------- Substituting 215  S for L in eq (ii)  2,150 + 10S  9S = - 2,055 S = - 2,055 + 2,150 S, or smaller angle = L = 215  95 ------ Substituting 95 for S in eq (i) L, or larger angle = Send comments and thank-yous to D at MathMadEzy@aol.com