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Honors Geometry Interior and Exterior Angle Sums

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					                 Interior and Exterior Angle Sums
For each polygon below, carefully follow the directions:

   1. Draw all possible diagonals starting at the bottom left vertex only!




   2. Give the number of triangles formed in each figure.

              Triangle      Quadrilateral   Pentagon        Hexagon          Octagon

               ______          ______        ______          ______          ______


   3. If the sum of the measures in a triangle is 180º, write the sum of the measures of
      the angles inside each polygon below.




   4. Write a formula you could use to find the SUM of the INTERIOR angles for any
      polygon.



   5. If each of the polygons below is REGULAR, find the measure of one angle in
      each polygon.




   6. Write a formula you could use to find the measure of one INTERIOR angle for
      any regular polygon.



Geometry Interior and Exterior Angle Sums
   7. Follow this example and extend all the sides of each polygon below.




   8. Using your knowledge of linear pairs, give the measure of every EXTERIOR
      angle for each regular polygon above.

       Triangle     Quadrilateral   Pentagon       Hexagon        Octagon

       ______          ______        ______         ______         ______

   9. Find the sum of the exterior angles for each of the polygons above.

       Triangle     Quadrilateral   Pentagon       Hexagon        Octagon

       ______          ______        ______         ______         ______

10. Write a rule for finding the SUM of the EXTERIOR angles for any polygon.




Geometry Interior and Exterior Angle Sums

				
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