SOLUTION: Please help me figure this problem out. If one of the angle of a triangle is 130 degree, then what will be the angle between the bisectors of the other two angles?

Question 485420: Please help me figure this problem out.
If one of the angle of a triangle is 130 degree, then what will be the angle between the bisectors of the other two angles?

Answer by chessace(471) (Show Source): You can put this solution on YOUR website!
Let x and y be the bisected angles.
So in the original triangle, sum of angles is
130 + 2x + 2y = 180
2(x+y) = 50
x+y= 25
In the smaller triangle consisting of the original side opposite 130 and the 2 bisectors, x + y + Ans = 180
25 + Ans = 180
Ans = 155
Or since 180 - Ans is also an answer (perhaps prefered)
Answer = 25

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