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Question

The bisector of B and C of triangle ABC intersect each other at the point O. Prove that BOC=900+12A

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Solution

Given :
A ABC such that the bisectors of ABC and ACB meet at a point O.
To prove :
BOC=90o+12A

Proof :
In BOC, we have
1+2+BOC=180o ....(1)
In ABC, we have,
A+B+C=180o
A+2(1)+2(2)=180o
A2+1+2=90o

1+2=90oA2
Therefore, in equation 1,
90oA2+BOC=180o

BOC=90o+A2


1277716_1372588_ans_e0541f8d5f7b43b2a1e95a2efd36f4ee.png

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