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Transcript
```m11gmse_0601_FPL2.indd 353
6-1 Solve It!
Objectives To find the sum of the measures of the interior angles of a polygon
To find the sum of the measures of the exterior angles of a polygon
You don’t need
to draw all the
diagonals from
every vertex.
Sketch a convex pentagon, hexagon, and heptagon. For each figure,
draw all the diagonals you can from one vertex. What conjecture can
you make about the relationship between the number of sides of a
polygon and the number of triangles that its diagonals form?
6-1 Lesson Quiz
1. What is the sum of the angle measures of a 14-gon?
2. What is the measure of each angle of a regular pentagon?
A
3. What is m/C in pentagon ABCDE?
E
B
105
86
137
C
D
4. What is the measure of an exterior angle of
a regular pentagon?
1
5. Do you UNDERSTAND? How many sides does a
regular polygon have if each exterior angle is 248?
How do you know?
Solve It!
Lesson Quiz
1.
2.
3.
4.
5.
The number of > formed by
the diagonals is 2 less than the
number of sides of the polygon.
2/11/09 11:39:51 PM
2160
108
122
72
The sum of the exterior
angles of any polygon is
3608, so the number of
sides is 360
24 or 15.
Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies