SOLUTION: The largest angle in a triangle is 6 more than 5 times the smallest angle. The difference of 2 times the largest angle and 4 times the smallest angle is 92�. Determine the smallest

Question 1106049: The largest angle in a triangle is 6 more than 5 times the smallest angle. The difference of 2 times the largest angle and 4 times the smallest angle is 92�. Determine the smallest angle.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Large angle: a
Small angle: b
a = 5b+6
2a-4b = 92
substitute for a:
2(5b+6)-4b = 92
10b+12-4b = 92
6b = 80
b = 13.3333
a = 5b+6 = 72.6665
---------------------------------
Check:
2a-4b = 92
2(72.6665)-4(13.3333) = 92 Correct

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