SOLUTION: The second angle of a triangle measures 10 degrees more than the first angle. The third angle measures 30 degrees less than twice the second angle. what are the measures of the thr

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Question 394516: The second angle of a triangle measures 10 degrees more than the first angle. The third angle measures 30 degrees less than twice the second angle. what are the measures of the three angles?
Answer by pie90010(44) About Me  (Show Source):
You can put this solution on YOUR website!
let angle 1 be x
let angle 2 be x+%2B+10
let angle 3 be %28x%2B10%29+-+30
when you add up all angles in a triangle, they equal 180
so your equation would be
x+%2B+x+%2B+10+%2B+2%2810+%2B+x%29+-+30
combine like terms and you get
4x+=+180
x+=+45
so angle 2 would be 10+%2B+45+=+55
and the last angle would be 180+-+55+-+45+=+80
the solution is
angle 1 = 45
angle 2 = 55
angle 3 = 80