# What is the sum of interior angles of a polygon with 6 sides?

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## What is the sum of interior angles of a polygon with 6 sides?

Sum of Interior Angles of a Polygon with Different Number of Sides:

Regular Polygons
Polygon No. of Sides Sum of Interior Angles
Pentagon 5 5400
Hexagon 6 7200

## What is the interior angle of a 6 sided polygon?

Hexagon

Regular hexagon
Symmetry group Dihedral (D6), order 2×6
Internal angle (degrees) 120°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

What is the sum of the interior angles of 8 sides?

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

What is the sum of a polygons interior angles?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

### What is the sum of interior angles of polygon of 8 sides?

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.

### What is the sum of the interior angle of a polygon?

180°
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

What is the sum of interior angles of a polygon?

What are examples of interior angles?

Interior Angle. An angle on the interior of a plane figure. Examples: The angles labeled 1, 2, 3, 4, and 5 in the pentagon below are all interior angles.

## What is the sum of the interior angles of?

The sum of the interior angles is (n–2) × 180° for n sides; the sum of the exterior angles is 360°. A regular polygon has all its sides and angles equal.

## How many sides does a polygon have?

A regular polygon has: Two dimensions Straight sides Congruent (equal-length) sides An interior and exterior Equal interior angles Equal exterior angles

What are the interior angles of a hexagon?

In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Since the interior angles of each triangle total 180º, the hexagon’s interior angles will total 4 (180º), or 720º.