In a △ABC, the bisector of ∠B and ∠C meets at I, If ∠A = 120° what is the measure of ∠BIC?
Answer
Correct Answer : a ) 150°
Explanation :According to the question
The bisector of ∠B and ∠C meets at I
∠A = 120°
We know that
If the bisector of ∠B and ∠C of △ ABC meet at I, then ‘I’ will be the incenter of △ ABC
We know that
⇒∠I = 90° + ∠\(A \over 2\)
Substituting the values
⇒ ∠I=90+\(120 \over 2\)
⇒∠I = 150°
Hence, (a) is the correct answer.
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