Question : In a regular polygon if one of its internal angles is greater than the external angle by $132^\circ$, then the number of sides of the polygon is:
Option 1: $14$
Option 2: $12$
Option 3: $15$
Option 4: $16$
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
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $15$
Solution : In a regular polygon, the relationship between an internal angle $(I)$ and an external angle $(E)$, $⇒I = 180^\circ - E$ ...(1) Given that the internal angle is greater than the external angle by $132^\circ$. $⇒I = E + 132^\circ$ ...(2) Solving the above equations, we get, $⇒180^\circ - E = E + 132^\circ$ $\therefore E = \frac{180^\circ - 132^\circ}{2} = 24^\circ$ The number of sides $(n)$ in a polygon, $⇒n = \frac{360^\circ}{E} = \frac{360^\circ}{24^\circ} = 15$ Hence, the correct answer is $15$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The sum of all internal angles of a regular polygon whose one external angle is $20^\circ$ is:
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?
Question : The sum of interior angles of a regular polygon is $1440^{\circ}$. The number of sides of the polygon is:
Question : If the sum of all interior angles of a regular polygon is 14 right angles, then its number of sides is:
Question : The measure of each interior angle of a regular polygon with 8 sides is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile