Question

In an isosceles triangle ABC with AB= AC the bisector of angle B and angle C intersect each other at O join A To O. If angle BAC is 48 then what is the measurement of angle BOC
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Answer 1

Since,

AB=AC..........(1)

OB is the bisector of ∠B

So, ∠ABO=∠OBC=

2

1

∠B.......(2)

OC is the bisector of ∠C

So, ∠ACO=∠OCB=

2

1

∠C.......(3)

⇒∠ACB=∠ABC (Angles opposite to equal sides are equal)

2

1

∠ACB=

2

1

∠ABC

∠OCB=∠OBC From (2) and (3)

Hence,

OB=OC (Sides opposite to equal angles are equal)

Hence proved.

solution

Answered By=shreyash. ......

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