Question : Points D, E, and F all lie on the circumference of a circle with centre O. If angle DEF = 48°, then what is a possible value of angle DOF?
Option 1: 84°
Option 2: 96°
Option 3: 90°
Option 4: 48°
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: 96°
Solution :
The points D, E, and F lie in a circle with centre O.
$\angle$DEF = 48$^{\circ}$
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
According to the concept,
2$\angle$DEF = $\angle$DOF
⇒ 2(48$^{\circ}$) = $\angle$DOF
⇒ $\angle$DOF = 96$^{\circ}$
Hence, the correct answer is 96$^{\circ}$.
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 “”.