Question : If a regular polygon has 5 sides, then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?
Option 1: $60^{\circ}$
Option 2: $36^{\circ}$
Option 3: $90^{\circ}$
Option 4: $100^{\circ}$
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: $36^{\circ}$
Solution :
Sides of a pentagon, $n$ = 5
Each interior angle of a pentagon = $(\frac{2×5-4}{5})×90^{\circ}$ = $6 × 18^{\circ}$ = $108^{\circ}$
External angle of a pentagon = $\frac{360^{\circ}}{5}$ = $72^{\circ}$
Difference = $108^{\circ}$ – $72^{\circ}$ = $36^{\circ}$
Hence, the correct answer is $36^{\circ}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
