In this section, the equation to find the degree measure of an exterior angle of a regular polygon will be discovered. The use of a calculator is helpful but not necessary.
In pentagon PENTA: ∠P and ∠1, form a linear pair and are supplementary.
Answer the following questions.
Polygon | Number of Angles |
Sum of Interior Angles (total degrees in interior angles) |
Number of Degrees in Each Interior Angle |
Number of Degrees in Each Exterior Angle |
Sum of Exterior Angles |
Triangle | |||||
Quadrilateral | |||||
Pentagon | |||||
Hexagon | |||||
Octagon | |||||
n-gon - is a polygon with n number of sides | Interactive button. Assistance may be required.
_____
180 −
(n minus 2) times 180 over n
(n − 2) × 180
n
or
360 over n
360
n
|
Use the figures above to assist in completing the chart above to discover the equation for the degree or measure of an exterior angle of a regular polygon.
Answer the following questions.