Question

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Answer 1

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