Question

If one angle of a triangle is 130 then find angle between the bisector of the other

Answer 1

Let three angles of the triangle are A, B and C

Let C= 130   (One angel is given as 130)

Then A+B = 180-130 = 50  (since A+B+C = 180)

Now 

      C + A/2 + B/2 = 180   (A/2 and B/2 are the bisector)

=> C + (A+B)/2 = 180

=> C + 50/2 = 180

=> C + 25 = 180

=> C = 180-25

=> C = 155

So the angle between the bisector of the other two angels is 155 degree