Math 1 March 19th

What you need today in class:

1. 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 POLYGON2. CONCAVE POLYGON3. NOT A POLYGON4. QUADRILATERAL

PENTAGONHEXAGONOCTAGONDECAGONN-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. REGULAR16. 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?

n = 20

angleexterior sides ofnumber

anglesexterior theof sum

18360

n

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 ANGLES1. How do you find the sum of ALL of the INTERIOR ANGLES of a polygon?

A. INTERIOR ANGLES1. 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 ANGLES1. 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 ANGLES1. The sum of the measures of ALL the

EXTERIOR ANGLES of a polygon is always ______.

B. EXTERIOR ANGLES1. 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 TIMEAn interior angle and an exterior

angle form a __________ ____________.

C. FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIMEAn interior angle and an exterior angle form a __________ ____________.

1st: Find the EXTERIOR ANGLE2nd: Find the INTERIOR ANGLE using the linear pair relationship.

a) Find the interior and exterior angle of a regular hexagon.

HOMEWORK

• PAGE 19