Download Section 3-5

Section 3-5
Angles of a Polygon
I. Polygon: ______________________________________________________________
______________________________________________________________

Means __________________________________
a.
Each side intersects _______________________________, one at each endpoint.
b.
No two segments with a common endpoint are collinear
Examples of polygons:
A. Two Types of Polygons:
1.) Convex: ________________________________________________________
_______________________________________________________________
_______________________________________________________________
Example:
2.) Nonconvex: _____________________________________________________
_______________________________________________________________
_______________________________________________________________
Example:
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B. Polygons are classified according to the_____________________________ they
have.
*Must have _______________________ to form a polygon.
Special Names for Polygons
Number of Sides
3
4
5
6
7
8
9
10
n
*n stands for number of sides.
Name
C. Diagonal: _________________________________________________________
_________________________________________________________
Example:
D. Regular polygon: ___________________________________________________
__________________________________________________________________
E. Interior Angle Sum Theorem: _________________________________________
_________________________________________________________________
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
One can find the measure of each interior angle of a regular polygon:
1.) Find the _________________________________________________
2.) ______________ the sum by the ________________________ the
regular polygon has.

One can find the number of sides a polygon has if given the measure of an
interior angle: _________________________________________
F. Exterior Angle Sum Theorem: _________________________________________
__________________________________________________________________
__________________________________________________________________

One can find the measure of each exterior angle of a regular polygon:

One can find the number of sides a polygon has if given the measure of an
exterior angle:
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