How to Find the Measure of a Single Angle of a Regular Polygon

Direct Calculation

• 1

  Count the number of sides of the regular polygon.

• 2

  Subtract 2 from the number of sides in the regular polygon. Call this result the "modified sides number."

• 3

  Multiply the modified sides number by 180. Call this result the "total number of degrees."

• 4

  Divide the total number of degrees by the number of sides to obtain the measure of the interior angle of the polygon in degrees.

Regular Polygon Tables

• 5

  Count the number of sides in the polygon.

• 6

  Look up the number of sides in a regular polygon table.

• 7

  Record the number in the same row of the table as the number of sides but in the interior angle column is the measure of each and every interior angles of the polygon.