Question

Which of the following best describes a regular polygon when the sum of its interior angles is 1260?

A- Pentagon
B- Hexagon
C- Octagon
D- Nonagon

Answer 1

Nonagon - 9 sides

Sum of interior angle of a polygon is (n-2)180 = x

N is the number of sides, so when you plug in 1260 for x, you get 9 for n

Answer 2

Explanation:

Alright, lets let started.

The formula for sum of interior angle for a polygon is =
`(n-2)*180`

Where n is the number of sides of polygon.

So

`(n-2)*180= 1260`

Dividing both sides from 180, so

`(n-2)=(1260)/(180)=7`

`n-2=7`

`n=9`

So, the number of sides are 9

Hence the polygon will be Nonagon. : Answer D

Hope it will help :)