Question : If the interior of a regular polygon is 170$^\circ$, then the number of sides of the polygon is:
Option 1: 36
Option 2: 20
Option 3: 18
Option 4: 27
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 36
Solution : Given: If the interior of a regular polygon is 170°. Each interior angle of a regular polygon is given as $\frac{2n–4}{n}\times 90^\circ$ where $n$ is its number of sides. So, $\frac{2n–4}{n}\times 90^\circ=170^\circ$ ⇒ $\frac{2n–4}{n}\times 9=17$ ⇒ $18n-36=17n$ $\therefore n=36$ Hence, the correct answer is 36.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : If one of the interior angles of a regular polygon is $\frac{15}{16}$ times of one of the interior angles of a regular decagon, then find the number of diagonals of the polygon.
Question : The interior angle of a regular polygon exceeds its exterior angle by 108$^\circ$. The number of the sides of the polygon is:
Question : The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $128 \frac{4}{7}$ degrees. The sum of the number of sides of polygons A and B is:
Question : If the external angle of a regular polygon is 18°, then the number of diagonals in this polygon is:
Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile