Name the sum of the exterior angles of any polygon
Exterior Angles of Polygons
Exterior angles are angles outside of a polygon when two sides are connected. The sum of all exterior angles of a polygon will always be 360°. Each exterior angle is equal to the sum of the two interior angles on either side of it.
exterior angles of polygons
Exterior angle - The angle between one side of a polygon and a line extended from the next side.
Interior angle - An angle formed inside the sides of a polygon.
Regular polygon - A polygon where all the sides are equal and all the interior angles are equal.
Did you know?
The sum of the exterior angles of any convex polygon is always equal to 360 degrees. The exterior angles of a regular polygon (all sides equal length) are all the same. The exterior angle of a triangle is always greater than the interior angles of the triangle.
What is the definition of an exterior angle of a polygon?
What is the relationship between the number of sides of a polygon and the sum of its exterior angles?
How did you use mathematics to solve a problem in an unfamiliar situation?
Brain break: Draw a picture of a dancing pineapple with sparkly shoes and a top hat.
In pairs: Select one task
Question: What is the exterior angle of a regular heptagon?
The exterior angle of a regular polygon is equal to the sum of the interior angles divided by the number of sides. The formula for the sum of the interior angles of a regular polygon is (n-2)*180. The formula for the exterior angle of a regular polygon is (360/n).
A: Pair up and measure the exterior angles of a regular polygon using a protractor. B: Draw a diagram of a regular polygon to illustrate the exterior angle of each side.
What is the sum of the exterior angles of any polygon?
- 180 degrees
- 90 degrees
- 360 degrees
In a regular polygon, what is the measure of each exterior angle?
- 360 divided by the number of sides
- 90 divided by the number of sides
- 180 divided by the number of sides
How many exterior angles does a triangle have?
In a pentagon, what is the sum of all its exterior angles?
- 720 degrees
- 540 degrees
- 360 degrees
What is true about an equilateral triangle's interior and exterior angles when added together?
- They sum up to 360 degrees.
- They sum up to 270 degrees.
- They sum up to 180 degrees.