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: The 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.
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 ) × 180° where n = number of sides.
Here, n = 10 [Since, it's a 10-sided polygon]
Thus, substituting it in the formula, we get,
Sum of interior angles = (10 - 2) × 180°
= 8 × 180°
Therefore, the sum of all the interior angles of a decagon is 1440°.