Question : In $ riangle \mathrm{ABC}, \angle \mathrm{A}=54^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle \mathrm{BIC}$ is:
Option 1: 68^o
Option 2: 54^o
Option 3: 148^o
Option 4: 117^o

Question

Question : In $ riangle \mathrm{ABC}, \angle \mathrm{A}=54^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle \mathrm{BIC}$ is:

Option 1: 68^o

Option 2: 54^o

Option 3: 148^o

Option 4: 117^o

Team Careers360 · Accepted Answer

Correct Answer: 117^o

Solution :

In $ riangle ABC$,
$\angle A = 54^{\circ}$
$\angle BIC = 90^{\circ} + \frac{\angle A}{2}$
$= 90^{\circ} + \frac{54^{\circ}}{2}$
$= 90^{\circ} + 27^{\circ}$
$= 117^{\circ}$
Hence, the correct answer is 117º.

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Question : In △ABC,∠A=54∘. If I is the incentre of the triangle, then the measure of ∠BIC is:Option 1: 68oOption 2: 54oOption 3: 148oOption 4: 117o

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Question : In $△ ABC, ∠ A = 54^{\circ}$ . If I is the incentre of the triangle, then the measure of $∠ BIC$ is:
Option 1: 68^o
Option 2: 54^o
Option 3: 148^o
Option 4: 117^o