Polygon Interior Angles: Continued...

So far, you've explored the sum of the interior angles of a triangle, quadrilateral, and pentagon. Fill in the 2nd column below for these 3 polygons.

What do you think the sum of the measures of the interior angles of a hexagon will be? Why do you think this is true?

Construct a hexagon in this app below and find and display the sum of the measures of its interior angles. Do your results confirm what you predicted above?

What do you think the sum of the measures of the interior angles of a heptagon will be? What about an octagon? Why do you claim this?

Test your hypothesis for the heptagon below. Do your results confirm what you predicted above?

Test your hypothesis for the octagon below. Do your results confirm what you predicted above?

Suppose a polygon has 85 sides. What would the sum of its interior angle measures be? Explain your reasoning. Be sure to include this value in the table above.

Suppose a polygon has [i]N[/i] sides. What would the sum of its interior angle measures be (in terms of [i]N[/i])? Explain your reasoning. Be sure to include this expression in the table above.

Polygon Interior Angles: Continued...

So far, you've explored the sum of the interior angles of a triangle, quadrilateral, and pentagon. Fill in the 2nd column below for these 3 polygons.

Construct a hexagon in this app below and find and display the sum of the measures of its interior angles. Do your results confirm what you predicted above?

Test your hypothesis for the heptagon below. Do your results confirm what you predicted above?

Test your hypothesis for the octagon below. Do your results confirm what you predicted above?

Information: Polygon Interior Angles: Continued...