Question

In a triangle abc angle a is 50degree and a triangle is made inside of abc triangle obc in which angle bo and angle co are the bisector of angle b and angle c then find angle boc .​

Answer 1

Answer:

Angle BOC = 120

PROOF

Angle A + Angle B + Angle C = 180

So, Angle B + Angle C = 120 ( angle A = 60)

Now 1/2 (Angle B + Angle C) = 60

1/2 angle B + 1/2 angle C =60………. I

In triangle BOC

1/2 angle B + 1/2 angle C + Angle BOC = 180

(BO and CO are angle bisectors)

Or 60 + Angle BOC = 180 (Using I)

OR ANGLE BOC = 120