SOLUTION: In a triangle, one angle is 6 degrees more than the second angle. The third angle is 18 degrees more than the second angle. Find the measure of each angle.

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Question 334400: In a triangle, one angle is 6 degrees more than the second angle. The third angle is 18 degrees more than the second angle. Find the measure of each angle.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let second angle be x
the first angle will be x+6
the third angle = x+6+18
..
Their sum =180 deg
..
x+x+6+x+6+18=180
3x+30 =180
add -30
3x+30-30 = 180-30
3x=150
divide by 3
x= 50 deg
..
First angle = 50+6= 56 deg
..
Third angle = x+24= 50+6+18
=74
..
CHECK
50+56+74= 180