Question

If one of the angles of a triangle is 130° then find the angles between the bisectors of the other 2 angles.

Answer 1

Let <A, <B,<C are three angles in a triangle.

sum of the three angles in a triangle is 180degree.

<A+<B+<C=180

130+<B+<C=180 since one angle is given

<B+<C =180-130

<B+<C=50

(<B+<C)/2=25----(1)after bisecting sum of the angles

required angle =180-25=155