. If one angle of a triangle is 130°, find the angle between the bisectors of other two angles.
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Let three angles of the triangle are A, B, and C
Let C = 130 [One angel is given as 1300 ]
Then A + B = 180 - 130 = 50 [since A + B + C = 1800 ]
Now, C + A/2 + B/2 = 180 [A/2 and B/2 are the bisector and in a triangle sum of all angles is 1800 ]
=> C + (A + B)/2 = 180
=> C + 50/2 = 180
=> C + 25 = 180
=> C = 180 - 25
=> C = 1550
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