SOLUTION: I'm stumped. The smallest angle of a triangle is 2 degrees more than 1/4 of the largest angle. The middle angle is 2 degrees less than the largest angle. Find the measure of

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Question 231409: I'm stumped.
The smallest angle of a triangle is 2 degrees more than 1/4 of the largest angle. The middle angle is 2 degrees less than the largest angle. Find the measure of each angle.
Thanks

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x = largest

"smallest angle of a triangle is 2 degrees more than 1/4 of the largest" ___ x/4 + 2

"middle angle is 2 degrees less than the largest angle" ___ x - 2

x + x/4 + 2 + x - 2 = 180 ___ the 2's cancel

multiplying by 4 ___ 4x + x + 4x = 720 ___ 9x = 720 ___ x = 80

substituting ___ 80/4 + 2 = 22

substituting ___ 80 - 2 = 78