1. Warm Up #1– An F-14 jet fighter and an FA-18 jet fighter/attack aircraft each catapult off from the flight deck of the USS Harry S. Truman. The F-14 immediately flies 50 miles east, then makes a 15° turn toward the north and flies for another 40 miles. The FA-18 starts by flying 40 miles south then makes a 25° right turn and flies another 50 miles. Draw and label a diagram, then determine which aircraft ends up further from the aircraft carrier?

2. Warm Up #2– Find the range of possible values for x.

4. Use a protractor to find the measure of each angle in each of the following non-convex polygons. Then find the sum of these interior angles

8. The Diagonal
A diagonal is a line that connects a vertex of a polygon to any NON ADJACENT vertex

9. Use a straight edge to draw all of the diagonals from point D

14. Use the information from your polygons to complete your interior angle sum theorem chart.

15. The Polygon Interior Angle Sum Theorem
Triangle
3 Sides
Sum of Angles is 180°
1 Triangle
x 180° per triangle

16. The Polygon Interior Angle Sum Theorem
Quadrilateral
4 Sides
Sum of Angles is 360°
2 Triangles
x 180° per triangle

17. The Polygon Interior Angle Sum Theorem
Pentagon
5 Sides
Sum of Angles is 540°
3 Triangles
x 180° per triangle

18. The Polygon Interior Angle Sum Theorem
Hexagon
6 Sides
Sum of Angles is 720°
4 Triangles
x 180° per triangle

19. The Polygon Interior Angle Sum Theorem
n - gon
n Sides
(n – 2) Triangles
x 180° per triangle

20. The Polygon Interior Angle Sum Theorem
The sum of the interior angles of an n-sided convex polygon is:

21. Exterior Angles
Remember that an exterior angle is the angle formed by extending ONE side of the polygon at each vertex.

23. Exterior Angles
Find the measure of each exterior angle and the sum of the exterior angles of a triangle, a quadrilateral, a pentagon, and a hexagon

24. The Polygon Exterior Angle Sum Theorem
The sum of the exterior angles of an n-sided convex polygon is:

25. Interior Angle Sum
Find the sum of the interior angles of a 9 sided convex polygon

26. Exterior Angle Sum
Find the sum of the exterior angles of a 15 sided convex polygon

27. A Regular Polygon
A regular polygon is a polygon with equal length sides and equal measured angles

28. Regular Polygon Angles
Find the measure of each exterior angle of a regular decagon

29. Regular Polygon Angles
Find the measure of each interior angle of a regular 15 sided convex polygon

30. Regular Polygon Angles
The measure of each exterior angle of a regular polygon is 30°. How many sides does the polygon have?

31. Regular Polygon Angles
The measure of each interior angle of a regular polygon is 162°. How many sides does the polygon have?

32. Regular Polygon Angles
The measure of each interior angle of a regular polygon is 162°. How many sides does the polygon have?