Angle measures in polygons are affected by the number of sides the polygon has.

To explore the relationship of sides and angles of a polygon, click on the picture and follow the directions below. This will open in a new webpage.

You can change the number of sides of the polygon by clicking on the gray words “more” or “less” to the right of the polygon.

Select three sides, a triangle, and then use your notes to record your answers to the following questions.

- What happens when you click the word “less” over and over?

- Why do you think the number of sides will not go below 3? Interactive popup. Assistance may be required. A polygon must have at least three sides. If it had only two sides, they would have to either be intersecting or parallel lines, which do not form a polygon.

- Now, begin increasing the number of sides of the polygon by clicking the word “more”. What do you notice about the measure of each angle?

- What do you notice about the sum of the measures of the angles?