Sum of Interior & Exterior Angles of a Polygon

Investigate the sum of the angle measures of a polygon with any number of sides.

Putting It All Together

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

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? [br]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.

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Information: Sum of Interior & Exterior Angles of a Polygon