SOLUTION: The difference between two angles in a triangle is 11 degrees. The sum of the same two angles is 77 degrees. Determine the measures of all three angles in the triangle.

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Question 901144: The difference between two angles in a triangle is 11 degrees. The sum of the same two angles is 77 degrees. Determine the measures of all three angles in the triangle.
Answer by lwsshak3(11628) About Me  (Show Source):
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The difference between two angles in a triangle is 11 degrees. The sum of the same two angles is 77 degrees. Determine the measures of all three angles in the triangle.
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let x= 1st angle
let y= 2nd angle
let z= 3rd angle
..
x-y=11
x+y=77
add:
2x=88
x=44
..
subtract:
-2y=-66
y=33
..
z=180-44-33=103
1st angle=44˚
2nd angle=33˚
3rd angle=103˚