Look at the polygons in the application below.
Why do you think these polygons are called [b]regular[/b] polygons?
Use what you know about the [b]Polygon Angle Sums[/b] to answer the following questions. (Make sure you have the "show angles" box checked)
Why do the angles of the [b]regular triangle (equilateral)[/b] have to equal 60°?
Why do the angles of the [b]regular quadrilateral (square)[/b] have to equal 90°?
Why do the angles of the[b] regular pentagon[/b] have to equal 108°?
Why do the angles of the[b] regular hexagon[/b] have to equal 120°?
Determine the measure of each angle in a [b]regular octagon[/b] (8 sided polygon). Explain how you found your answer.
Determine the measure of each angle in a [b]regular decagon [/b](10 sided polygon). Explain how you found your answer.
The formula to find the sum of a polygon's angles (S) is given by the following equation: [b]S = (n-2)*180 [/b](where n is the number of sides).
Use this formula to write an equation that will calculate the measure of [b]each angle (A)[/b] of a regular polygon with [b]n sides[/b]. Your equation should be of the form [b]A = [expression involving n][/b].
Use your equation to determine the measure of each angle of a [b]regular 12-sided polygon.[/b]
Use your equation to determine the measure of each angle of a [b]regular 20-sided polygon[/b].
Each angle of a regular polygon measures 156°. Use your equation to determine the [b]number of sides[/b] that the polygon has.
Each angle of a regular polygon measures 165°. Use your equation to determine the [b]number of sides[/b] that the polygon has.