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Math 1 March 19th

What you need today in class:

- Pick up a calculator and warm-up sheet
- Turn in Homework – page 18

WARM-UP

(Don’t copy question – just show work and give answer)

Find the measure of ONE exterior angle of a regular octagon.

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?

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 are x, 3x, 5x, and 3x. Find the measure of each angle., then how many sides does the polygon have?

n = 12

Notes: p. 16 are x, 3x, 5x, and 3x. Find the measure of each angle.

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

- INTERIOR ANGLES are x, 3x, 5x, and 3x. Find the measure of each angle.
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?

- INTERIOR ANGLES are x, 3x, 5x, and 3x. Find the measure of each angle.
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?

- EXTERIOR ANGLES are x, 3x, 5x, and 3x. Find the measure of each angle.
1. The sum of the measures of ALL the EXTERIOR ANGLES of a polygon is always ______.

- EXTERIOR ANGLES are x, 3x, 5x, and 3x. Find the measure of each angle.
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?

- FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME are x, 3x, 5x, and 3x. Find the measure of each angle.
An interior angle and an exterior angle form a __________ ____________.

- FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME are x, 3x, 5x, and 3x. Find the measure of each angle.
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 are x, 3x, 5x, and 3x. Find the measure of each angle.

- PAGE 19

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