SOLUTION: In triangle ABC < A = x-12, < B = x-8 and < C = 4x+20. Find the measure of angle C

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Question 1062917: In triangle ABC < A = x-12, < B = x-8 and < C = 4x+20. Find the measure of angle C
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The sum of interior angles of a triangle is 180 degs.

Therefore,

(x-12) + (x-8) + (4x+20) = 180,

6x = 180  ---->  x = 180%2F6 = 30   ---->  

< A = x - 12 = 30 - 12 = 18 degs,

< B = x - 8 = 30 - 8 = 22 degs, 

< C = 4x + 20 = 4*30 + 20 = 140 degs.

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