If I is the Incentre of a Triangle, then what is the measure of Angle BIC

Question of The Day28-02-2022

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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