Transcript n = 12 - connmath

Math 1
1.
March 19th
What you need today in class:
Pick up a calculator and warm-up sheet
2. Turn in Homework – page 18
WARM-UP
(Don’t copy question – just show work and give answer)
1. Find the measure of ONE exterior angle of a regular
octagon.
2. Find the measure of ONE interior angle of a 11-gon.
CHECK HOMEWORK – FRONT
1. CONVEX POLYGON
2. CONCAVE POLYGON
3. NOT A POLYGON
4. QUADRILATERAL
PENTAGON
HEXAGON
OCTAGON
DECAGON
N-GON
5. 180(n – 2)
6. 360O
7. 360°/360°
8. 720o/360o
9. 1440°/360°
10. 540o/360o
11. 1080°/360°
12. 2880o/360o
15. REGULAR
16. 60o/120o
17. 120°/60°
18. 144o/36o
Summary Notes on Page 12
Interior Angle SUM
ONE Interior Angle
Exterior Angle SUM
ONE Exterior Angle
Ex. 4 Each exterior angle of a polygon
is 18. How many sides does it have?
sum of the exterior angles
 exterior angle
number of sides

360
 18
n
n = 20
Ex. 5 The sum of the measures of five interior
angles of a hexagon is 535. What is the measure
of the sixth angle?
185°
Ex. 6 The measure of the exterior angle of a
quadrilateral are x, 3x, 5x, and 3x. Find the
measure of each angle.
30°, 90°,
150°, and
90°
Ex. 7 If each interior angle of a regular polygon is
150, then how many sides does the polygon have?
n = 12
Notes: p. 16
A. INTERIOR ANGLES
1. How do you find the sum of ALL of the
INTERIOR ANGLES of a polygon?
A. INTERIOR ANGLES
1. How do you find the sum of ALL of the
INTERIOR ANGLES of a polygon?
2. How do you find the measure of ONE
INTERIOR ANGLE of a REGULAR polygon?
A. INTERIOR ANGLES
1. How do you find the sum of ALL of the
INTERIOR ANGLES of a polygon?
2. How do you find the measure of ONE
INTERIOR ANGLE of a REGULAR polygon?
3. How do you find the measure of ONE
INTERIOR ANGLE of a non-regular polygon?
B. EXTERIOR ANGLES
1. The sum of the measures of ALL the
EXTERIOR ANGLES of a polygon is
always ______.
B. EXTERIOR ANGLES
1. The sum of the measures of ALL the
EXTERIOR ANGLES of a polygon is
always ______.
2. How do you find the measure of ONE
EXTERIOR ANGLE of a REGULAR
polygon?
C. FINDING AN INTERIOR & EXTERIOR ANGLE
AT THE SAME TIME
An interior angle and an exterior angle
form a __________ ____________.
C. FINDING AN INTERIOR & EXTERIOR ANGLE AT
THE SAME TIME
An interior angle and an exterior angle
form a
__________ ____________.
1st: Find the EXTERIOR ANGLE
2nd: Find the INTERIOR ANGLE using the
linear pair relationship.
a) Find the interior and exterior angle of a
regular hexagon.
HOMEWORK
• PAGE 19