Question

An exterior angle of a triangle is 130 degrees, then the angle between the bisectors of the other two angles can be

Answer 1

Answer:

155 degree

Step-by-step explanation:

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

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