As you may recall, the sum of the interior angles of a triangle is 180 deg

How many sides must a polygon have if the sum of the interior angles is

2520 deg

### 1 Answer | Add Yours

We know that if a polygon has n numbers of sides then we can form (n-2) triangles inside the polygon. In other words the sum of n interior angles are denoted by the sum of interior angles of (n-2) triangles.

So if the polygon has n sides;

`(n-2)xx180 = 2520`

`n-2 = 14`

`n = 16`

*So the polygon has 16 sides.*

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