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AIM: Sum of the Angles of Polygons


                     Do Now


            Weekly Quiz #12




                                     1
Homework: Pages 380-381 #7-23 all, 27-35 all




                                               2
3
1.) The figure has how many sides?

                                       2.) From vertex A, how many
                                       segments can be draw to other
                                       vertices?

                                       3.) Draw all the segments from
                                       vertex A.

                                       4.) How many triangle are created
                                       when the segment are drawn?


Sum of the measure of     = Number of Triangles • Sum of the measure of
the angles of a hexagon                           the angles of a triangle

__________________ = ________________ • _________________




                                                                             4
5.) Use the same procedure to find the sum of the measures of
the angles of the following figures.




                                                                5
Question: What is the relationship between the number of
sides of a polygon and the number of triangles that can be
drawn inside?




Question: How can I re-write the formula?




                                                             6
1  




 3.) Use the formula to find the sum of the
 measures of the angles of the following polygons.




      Name: ______
      Sum = ______




                                                     7
2      




    3.) Use the formula to find the sum of the
    measures of the angles of the following polygons.




          Name: ______

          Sum = ______




                                                        8
3    




3.) Use the formula to find the sum of the
measures of the angles of the following polygons.




        Name: ______

        Sum = ______




                                                    9
Example 1: How many sides does a polygon have if the sum of its
interior angles is 12600?




                                                                  10
4.) Find the missing angle for the following
quadrilaterals.


       x               1350


     700                       450




               1050


           x




                                               11
Before You Leave

1.) The interior angles have a sum
of 3600.




2.) The interior angles have a sum
of 5400.




3.) Each angle is a 600 angle.




                                     12
Mr. Tjersland's Math 7




Homework: Pages 384-385 #7-20 all, 23, 26-31 all




                                                   13
AIM: Sum of the Angles of Polygons


Sum of Angles                          (where n =
of a Polygon
                      =   (n - 2)180   number of
                                       sides)




                                                    14
AIM: Sum of the Angles of Polygons


Sum of Angles                         (where n =
of a Polygon
                     =   (n - 2)180   number of
                                      sides)




                                                   15
Attachments



     Hexagon.gsp

     Octogon Pentagon.gsp

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Day 3 Angles In Polygons

  • 1. AIM: Sum of the Angles of Polygons Do Now Weekly Quiz #12 1
  • 2. Homework: Pages 380-381 #7-23 all, 27-35 all 2
  • 3. 3
  • 4. 1.) The figure has how many sides? 2.) From vertex A, how many segments can be draw to other vertices? 3.) Draw all the segments from vertex A. 4.) How many triangle are created when the segment are drawn? Sum of the measure of = Number of Triangles • Sum of the measure of the angles of a hexagon the angles of a triangle __________________ = ________________ • _________________ 4
  • 5. 5.) Use the same procedure to find the sum of the measures of the angles of the following figures. 5
  • 6. Question: What is the relationship between the number of sides of a polygon and the number of triangles that can be drawn inside? Question: How can I re-write the formula? 6
  • 7. 1   3.) Use the formula to find the sum of the measures of the angles of the following polygons. Name: ______ Sum = ______ 7
  • 8. 2   3.) Use the formula to find the sum of the measures of the angles of the following polygons. Name: ______ Sum = ______ 8
  • 9. 3   3.) Use the formula to find the sum of the measures of the angles of the following polygons. Name: ______ Sum = ______ 9
  • 10. Example 1: How many sides does a polygon have if the sum of its interior angles is 12600? 10
  • 11. 4.) Find the missing angle for the following quadrilaterals. x 1350 700 450 1050 x 11
  • 12. Before You Leave 1.) The interior angles have a sum of 3600. 2.) The interior angles have a sum of 5400. 3.) Each angle is a 600 angle. 12
  • 13. Mr. Tjersland's Math 7 Homework: Pages 384-385 #7-20 all, 23, 26-31 all 13
  • 14. AIM: Sum of the Angles of Polygons Sum of Angles (where n = of a Polygon = (n - 2)180 number of sides) 14
  • 15. AIM: Sum of the Angles of Polygons Sum of Angles (where n = of a Polygon = (n - 2)180 number of sides) 15
  • 16. Attachments Hexagon.gsp Octogon Pentagon.gsp