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)   (Show Source): You can put this solution on YOUR website!
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.
***
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˚

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