Hexagon Angle Theorems

Interact with the app below for a few minutes.   Then, answer the questions that follow.   Be sure to change the locations of this hexagon's vertices each time before you drag the slider!

Into how many non-overlapping triangles were we able to split this hexagon?

What is the sum of the measures of the interior angles of each triangle?

Use your responses from the two questions above to determine the sum of the measures of the interior angles of this hexagon.

What is the sum of the measures of the exterior angles of this hexagon?