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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