Question

If in the triangle ABC, angle A=80 degree & angle B = 40 degree , and the angle bisector of the angle B and C intersect

at O 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

hope this have helped you out

please do follow

support

and Mark me as the brainliest

Answer 2

angle C =180-(80+40)

=>180-120

=>60

angle BOC= 180-(1/2angle B+1/2angleC)

180-(20+30)

180-50

130°