Ximpledu

Polygon

See how to find the angles of a polygon.
5 examples and their solutions.

Polygon Names

NameNumber of Angles/Sides
Triangle3
Quadrilateral4
Pentagon5
Hexagon6
Heptagon7
Octagon8
Nonagon9
Decagon10
n-gonn

Interior Angles of a Polygon

Formula

n-gon

(sum) = 180⋅(n - 2)°

Example

Heptagon
Sum of the measures of the interior angles?
Solution

Example

Regular octagon
Measure of an interior angle?
Solution

Exterior Angles of a Polygon

Formula


(sum) = 360°

Example

Solution

Example

Regular pentagon
Measure of an exterior angle?
Solution

Example

Regular polygon
Measure of an exterior angle: 60°
Name of the polygon?
Solution