Google ClassroomGoogle Classroom
GeoGebraGeoGebra Lesson
GeoGebra

Sum of Interior & Exterior Angles of a Polygon

Autor:Megan Koerner, GeoGebra Content Team
Thema:Winkel
Investigate the sum of the angle measures of a polygon with any number of sides.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

What is the sum of the measures of three angles in a triangle?

What do you think the sum of the measures of the angles in a 10-sided polygon would be?  Explain.

How would you find the sum of the measures of the angles of a 100-sided polygon?

Now we will look at the sum of exterior angles of a polygon. Predict what you think the sum of the exterior angles of a polygon will be.

Now let's explore the exterior angles of a polygon. Drag the sliders to explore.

Was your prediction correct? What rule could you state about the sum of the exterior angles of a polygon?

Enrichment: What is the relationship between adjacent exterior and interior angles of a polygon?

Enrichment: Find the measure of EACH interior and EACH exterior angle of a regular 15-gon.

Neue Materialien

Entdecke Materialien

Entdecke weitere Themen