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Math 1 March 19 th. 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.

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Math 1 march 19 th
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
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
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
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 then how many sides does the polygon have
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
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

    __________ ____________.

    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
HOMEWORK are x, 3x, 5x, and 3x. Find the measure of each angle.

  • PAGE 19


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