5.2 Exterior Angles of a Polygon
Goal: How can polygon properties and relationships allow for more efficient problem solving?
This is important because different polygons have unique properties that, at times, make them more useful than others.
Learning Target
I can identify the Exterior Angle Sum Theorem.
I can apply the Exterior Angle Sum Theorem to solve problems.
Today we will discover the sum of the exterior angles of a polygon.
What is the sum of the exterior angles of a polygon?
Go to the following link to find the answer to this question.
Hint: change the size of the polygon.
What is the sum of the exterior angles of a polygon?
360 degrees
Exterior Angle Sum Theorem
For any polygon, the sum for a set of exterior angles is 360 degrees.
What is the measure of each exterior angle of the dodecagon?
360 degrees
What is the sum of the measures of the exterior angles of a dodecagon?
360/12 = 30 degrees
Find the value of a.
360-40-60-84-68 = 108 degrees
How did we do as a community of learners?
Can you identify the Exterior Angle Sum Theorem?
Can you apply the Exterior Angle Sum Theorem to solve problems?
Can you apply the Exterior Angle Sum Theorem to solve problems?