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Warm Up Determine the measure of all the missing angles and state the rule you used to find it.. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons.

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Presentation on theme: "Warm Up Determine the measure of all the missing angles and state the rule you used to find it.. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons."— Presentation transcript:

1 Warm Up Determine the measure of all the missing angles and state the rule you used to find it.. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons ∠ EGB = ∠ BGF = ∠ AGF = ∠ EZD = ∠ DZF = ∠ FZC = ∠ CZE = G

2 Terminology What is a Polygon? What is a Quadrilateral? Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons A polygon is a closed figure that consists of line segments that only intersect at their endpoints. A polygon with four sides. **

3 Is it a Polygon? Which of the following are polygons? Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons Which of the following were quadrilaterals?

4 Let’s try an activity! Using a protractor, determine: the Sum of the Interior Angles. the Sum of the Exterior Angles. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons ShapeSum of Interior AnglesSum of Exterior Angles Quadrilateral Pentagon Hexagon Octagon

5 The Sum of the Interior Angles of a Polygon The sum of the interior angles of a polygon is equal to the number of triangles you can fit inside it multiplied by 180 0 ! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

6 The Sum of the Interior Angles of a Polygon We can make an equation for this rule! S = (n-2) x 180 0 where S = sum of interior angles and n = number of sides! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

7 The Sum of the Exterior Angles of a Polygon This is an easy rule to remember! The Sum of the Exterior Angles of a Polygon is always 360 0 ! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

8 Homework  Page 97 # 2, 4, 7  Page 101# 2 - 6 Learning Goals: I can determine the value of a missing interior angle inside a polygon I can determine the value of a missing exterior angle outside a polygon. I can determine if a given shape is a polygon. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons


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