# The sum of the angles in a convex 10-sided polygon is?

A polygon is a flat, plane shape, usually two-dimensional consisting of straight and non-intersecting lines or sides.

## Answer: Sum of angles in a convex 10-sided polygon is equal to 1440°.

We will use the shape of the decagon to find the sum of angles.

**Explanation:**

A decagon shape can be defined as a polygon having ten sides, ten interior angles, and ten vertices.

Sum of interior angles of a polygon is given by ( n − 2 ) × 180º where, n = number of sides

Here, n = 10 [Since, it's a 10-sided polygon]

Thus, substituting in the formula we get,

Sum of interior angles = (10 - 2) × 180º

= 8 × 180º

= 1440º

### Therefore, the sum of all the interior angles of a decagon is** **1440º.