1. Interior and Exterior Angles (6.1/6.2)

2. 6. 1 Interior Angles in Convex Polygons Essential Question: How can you determine the number of degrees in any polygon?

3. Angles in a ∆ add to 180 An angle inside a polygon

4. 2 2*180= 360 3 3*180= 540

5. Sum= (n-2) *180

6. Has all congruent sides and angles angle= (n-2)*180 n

7. Sum= (n-2)*180 Angle= (n-2)*180 N A= (9-2)*180 9 A= 1260/9 A= 140

8. Sum= (n-2)*180 Angle= (n-2)*180 N 1980= (n-2)*180 11=n-2 13=n

9. Sum= (n-2)*180 Angle= (n-2)*180 N 135 = (n-2)*180 n 135n= (n-2)*180 135n= 180n – 360 -45n= -360 n=8

10. 5 min Technology Break

11. 6. 2 Exterior Angles in Convex Polygons Essential Question: What is an exterior angle of a polygon?

12. Angle between side of a polygon and an adjacent side extended outward The sum of the exterior angles of a convex polygon is 360

13. 70+60+65+40+y=360 y= 360 – 235 y=125

14. 360/7=x 51.43 = x

16. Plicker Exit Slip Question 1Question 2 If the sum of the interior angles of a shape is 1620, how many sides does it have? A) 7 B) 9 C) 11 D) 13 The measure of each exterior angle in a pentagon is 2y. Solve for y. A) 2.5 B) 36 C) 54 D) 180

17. Homework  6.1 evens  6.2 all