Question : 'I' is the incentre of $\triangle$ABC. If $\angle$BIC = 108$^\circ$, then $\angle$A = ?
Option 1: 54$^\circ$
Option 2: 36$^\circ$
Option 3: 72$^\circ$
Option 4: 81$^\circ$
Answer (1)
24th Jan, 2024
Correct Answer: 36$^\circ$
Solution :
In $\triangle$ABC, if 'I' is the incenter, then $\angle BIC = 90^\circ + \frac{A}{2}$.
Given that $\angle BIC = 108^\circ$,
So, $\angle A = 2 \times (\angle BIC - 90^\circ) = 2 \times (108^\circ - 90^\circ) = 36^\circ$
Hence, the correct answer is 36$^\circ$.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Preliminary Exam
Result Date:
21 Nov, 2024
- 28 Nov, 2024
Admit Card Date:
18 Nov, 2024
- 1 Dec, 2024
Application Date:
1 Dec, 2024
Exam Date:
1 Dec, 2024
- 1 Dec, 2024
Application Date:
1 Aug, 2024
- 2 Dec, 2024
