Question

In the given below left figure the bisectors of angle abc and angle BCA intersect each other at a point o if angle BAC is equal 200 degree the angle a is

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

In triangle ABC,

∠A+∠B+∠C=180  

OB and OC are bisectors of ∠B  and  ∠C  

So, ∠B=2∠OBC

and  ∠C=2∠OCB  

Now equation (1) can be written as,

∠A+2(∠OBC+∠OCB)=180  

In triangle OBC,

∠BOC+∠OBC+∠OCB=180

OBC+∠OCB=180  −∠BOC