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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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(10557) (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 =
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