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interior angle The sum of the exterior angles of a polygon is always 360°. In a regular polygon, to find an exterior angle, you can divide 360° by the number of sides (360 n). An interior angle and its corresponding exterior angle add up to 180°. The formula for the sum of the interior angles in a polygon is: (n – 2) × 180° (where n is ...
Work with a partner. a. Use the function you found in Exploration 1 to write a new function that gives the measure of one interior angle in a regular polygon with sides. b. Use the function in part (a) to fi nd the measure of one interior angle of a regular pentagon.
a.) Find the measure of each interior angle. b.) Find the measure of each exterior angle. Summary of all Formulas #1 and 2 apply to all polygons #3 and 4 apply to only regular polygons 1.) Sum of Interior Angles 2.) Sum of Exterior Angles 3.) Measure of Each Interior Angle 4.)
1) The measure of one interior angle in a regular polygon is 172 degrees. How many diagonals does the polygon have? 2) If the sum ofthe interior angles of a polygon is 1260 degrees,
Write down a formula that relates the size of an exterior angle (E) and the size of an interior angle (I) of a polygon. Write down a formula that allows you to calculate the sum (S) of the interior angles in a regular polygon with n sides. Each exterior angle of a regular polygon is 15o.
Formulas for Finding Angles in Polygons: Sum of Interior Angles Each Interior Angle Sum of Exterior Angles Each Exterior Angle Use the formulas to find the indicated values.
1 Work out the size of an exterior angle of a regular hexagon. (Total for question 3 is 2 marks) 3 Work out the size of each interior angle in a regular pentagon