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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

Verified Answer :

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:

Step-by-step 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

\((n-2)=\frac{1260}{180}=7\)

\(n-2=7\)

\(n=9\)

So, the number of sides are 9

Hence the polygon will be Nonagon.   :    Answer D

Hope it will help :)

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