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
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.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes