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Linear Pair

In Δ A B C, i...

Question

In ΔABC, if bisectors of ∠ABC and ∠ACB intersect at O at angle of 120°, then find the measure of ∠A.

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Solution

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

We need to find the measure of

So here, using the corollary, “if the bisectors of and of a meet at a point O, then”

Thus, in ΔABC

Thus,

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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 $∠ A .$

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