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Question -

In △ABC, if ∠B = 600, ∠C = 800 and the bisectors of angles ∠ABC and ∠ACB meet at point O, then find the measure of ∠BOC.



Answer -

B = 600, C = 800 (given)

As per question:

OBC = 600/2= 300 and

OCB = 800/2= 400

In triangle BOC,

OBC + OCB + BOC = 180 0

[Sumof angles of a triangle = 1800]

300 +400 + BOC = 1800

BOC = 1100

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