Maths-

General

Easy

Question

# A regular polygon has 20 diagonals. Find the number of sides and classify it based on the number of sides.

Hint:

- A regular polygon is a polygon with congruent sides and equal angles and are symmetrically placed about a common center.

## The correct answer is: 8

- We have been given in the question information about a regular polygon that has 20 diagonals which means it is an octagon.
- We have to find the number of sides and classify it based on the number of sides.

Step 1 of 1:

We know that the number of diagonal in n - side polygon

Here, the number of diagonals is 20

So,

(n - 8) (n + 5) = 0

n = 8

So, The number of sides are 8.

And It is Octagon.

n = 8

So, The number of sides are 8.

And It is Octagon.

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