 # Question: How Many Sides Does A Polygon Have If The Sum Of Its Interior Angles Is 1260?

## How many sides does a polygon have if the sum of the interior angles is 1260?

9We know that sum of interior angles of a regular polygon is (n – 2) * 180.

(1) Given sum of interior angles = 1260.

n = 9.

Therefore the number of sides = 9..

## What is a polygon with an interior angle sum of 1260?

So, the sum of the interior angles of a nonagon is 1260 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

## How do you find the number of sides in a polygon with sum of interior angles?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

## How many sides does a polygon have if the sum of its interior angles is 180?

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.

## How many sides does a polygon have if the sum of the interior angles is 1620?

11 sidesAnswer and Explanation: So the polygon has 11 sides.

## How many sides does a polygon have if the sum of the interior angles is 2160?

14 sidesThe sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)-360 = (n-2) x 180 degrees. Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides.