The Exterior Angles of a Polygon (Mathematics Lesson)
The Exterior Angles of a PolygonThe exterior angles of a polygon are the angles outside of the polygon, between a side and the extension of the side next to it.
The Sum of the Exterior Angles of a PolygonThe sum of the exterior angles of a polygon is:
The exterior angles of a polygon add up to 360°, a full revolution.
The Exterior Angles of a Regular PolygonRegular polygons have equal exterior angles.
There are as many exterior angles as there are sides.
To find each exterior angle in a regular polygon, divide the sum of the exterior angles by the number of sides.
The formula for each of the exterior angles of a regular polygon is:
How to Find the Exterior Angle of a Regular PolygonQuestion: What is the exterior angle of a regular hexagon?
A regular hexagon has 6 sides, so n = 6.
Using the formula.
Each angle in a hexagon is 60°.
Read more about how to find the exterior angle of a regular polygon
The Exterior Angles of Different Polygons
|Shape||Sum of Exterior Angles||Exterior Angle of Regular Polygon|
NoteWHAT IS A POLYGON?
A polygon is a 2-dimensional shape with straight sides.
INTERIOR ANGLESPolygons have interior angles as well as exterior angles.
The sum of the interior angles of a polygon is given by the formula:
AN INTERIOR AND EXTERIOR ANGLE IN A POLYGON ADD UP TO 180°
An interior and exterior angle in a polygon add up to 180°.
Read more about how the interior and exterior angle of a polygon add up to 180°
WHAT EXTERIOR ANGLES ARE AND WHAT THEY ARE NOTThe exterior angle is the angle between a side and the extension of the side next to it.
The exterior angle of a polygon is not the angle outside of a polygon, between two sides.