Post on 31-Dec-2015
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Warm Up 04.11.12Week 4
Section 11.1 Day
1
I will find the measures of interior and exterior angles of a polygon.
180⁰ 360⁰ 540⁰ 720⁰
3 sides 4 sides 5 sides 6 sidesEx 1
1•
2 • 180 3 • 180 4 • 180
Ex 2
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-gon is ( n – 2 ) • 180⁰.
Theorem 10.15
( 6 – 2 ) • 180⁰
4 • 180⁰
720⁰
136⁰ + 136⁰ + 88⁰ + 142⁰ + 105⁰ + x⁰ = 720⁰
607 + x = 720
x = 113
6
5
4 3
2
1
Ex 3 The measure of each angle of a regular polygon is 140.
How many sides?
Theorem 10.15A
9 sides
Ex 4 Find the value of x for the regular polygon:
x
Assignment:
Textbook Page 665, 14 – 19 all.
Do 1: What is the value of x?