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In Δ A B C, i...

Question

In Δ ABC, if u∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.

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Solution

In ΔABC,,and the bisectors of and meet at O.

We need to find the measure of

Since,BO is the bisector of

Similarly,CO is the bisector of

Now, applying angle sum property of the triangle, in ΔBOC, we get,

Therefore,.

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Similar questions

In a $Δ A B C,$ if $∠ A = 60^{\circ}, ∠ B = 80^{\circ}$ and the bisectors of $∠ B$ and $∠ C$ meet at $O$ , then $∠ B O C =$ ___

In $Δ A B C,$ if bisectors of $∠ A B C$ and $∠ A C B$ intersect at O at angle of $120^{\circ}$ , then find the measure of $∠ A .$

∠

= 32^{o}

∠

△ A B C

∠ A = 60^{o}

∠ B = 80^{o}

∠ B

∠ C

O

∠ C

∠ B O C

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