SOLUTION: one angle of a triangle is 3 times as large as another the third angle is twice the sum of the first 2 angles what is the measure of the largest angle

Question 1010065: one angle of a triangle is 3 times as large as another the third angle is twice the sum of the first 2 angles what is the measure of the largest angle
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
one angle of a triangle is 3 times as large as another the third angle is twice the sum of the first 2 angles what is the measure of the largest angle
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The sum of the 3 angles of any triangles = 180 degs
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a+b+c = 180
a = 3b
c = 2*(a+b)
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Sub for a
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3b+b+c = 180
c = 2*(3b+b) = 8b
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4b + c = 180
c = 8b
--
Sub for c
4b + 8b = 180
b = 15 degs
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c = 8b
c = 120 degs
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a = 3b
a = 45 degs

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