Question : I is the incentre of $\triangle \mathrm{ABC}$ of $\angle \mathrm{A}=46°$, then $\angle \mathrm{BIC}=$?
Option 1: 93°
Option 2: 113°
Option 3: 124°
Option 4: 134°
Correct Answer: 113°
Solution :
In $\triangle$BIC
Angle at incentre = 90° + $\frac{1}{2}$ × vertex angle
⇒ $\angle$BIC = 90° + $\frac{46°}{2}$
= 90° + 23°
= 113°
Hence, the correct answer is 113°.
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