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
__________________ = ________________ • _________________
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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 = ______
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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?
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11. 4.) Find the missing angle for the following
quadrilaterals.
x 1350
700 450
1050
x
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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.
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