Question

The sum of the interior angles of a polygon is 4860 degrees. How many sides does the polygon have?

Answer 1

`29`

Explanation:

A polygon with `n` sides can be dissected into `n-2` triangles with vertices at vertices of the polygon.

Each triangle contributes `180^@` to the sum of the interior angles.

So with an interior angle sum of `4860^@`, the given polygon must have:

`4860/180 + 2 = 27+2 = 29" "` sides.