Question

If one angle of a triangle is 130 degree then find angle between the bisector of the other two angles ​

Answer 1

The angle between bisectors is 180°-12.5°=167.5°
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Answer 2

Step-by-step explanation:

Solution :

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