Question : In $\triangle ABC$, the internal bisectors of $\angle B$ and $\angle C$ meet at point $O$. If $\angle A = 80^\circ$, then $\angle BOC$ is equal to:
Option 1: $100^\circ$
Option 2: $120^\circ$
Option 3: $130^\circ$
Option 4: $140^\circ$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $130^\circ$
Solution :
Given: $\angle A = 80^\circ$
To find: $\angle BOC$
We know that,
Angle formed by internal bisectors of base angles = $90^\circ+\frac{1}{2}\angle A$
⇒ $\angle BOC$ = $90^\circ+\frac{1}{2}\angle A$
= $90^\circ+\frac{1}{2}×80^\circ$
= $90^\circ+40^\circ$
= $130^\circ$
Hence, the correct answer is $130^\circ$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.