Question : The interior angle of a regular polygon exceeds its exterior angle by 108$^\circ$. The number of the sides of the polygon is:
Option 1: 12
Option 2: 16
Option 3: 14
Option 4: 10
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 10
Solution :
Given that the interior angle of a regular polygon exceeds its exterior angle by 180$^\circ$.
For a regular polygon, each exterior angle = $\frac{360^\circ}{n}$
And each interior angle = $\frac{180^\circ\times (n-2)}{n}$
So, $\frac{180^\circ\times (n-2)}{n}-\frac{360^\circ}{n}=108^\circ$
Or, $180^\circ\times n-108^\circ\times n=720^\circ$
Or, $n=10$
Hence, the correct answer is 10.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
