6-1 Angles of polygons

Name ____________________________

Tell the sum of the measures of the interior angles of the following shapes.

1. Hexagon = ___________ 2. Octagon = ___________

3. Quadrilateral = ___________ 4. Pentagon = ___________

5. Decagon = ___________ 6. Heptagon = ___________

7. 22-gon = ___________ 8. Nonagon = ___________

9. What is the value of n in Figure 1 above? _______________

10. What is the value of n in Figure 2 above? _______________

11. What is the value of n in Figure 3 above? _______________

12. How many degrees is each interior angle of a regular decagon? ___________

13. How many degrees is each interior angle of a regular octagon? ___________

14. How many degrees is each interior angle of a regular pentagon? ___________

15. How many degrees is each interior angle of a regular dodecagon? ___________

16. How many degrees is each interior angle of a regular hexagon? ___________

17. How many degrees is each exterior angle of a decagon? ___________

18. How many degrees is each exterior angle of a pentagon? ___________

19. How many degrees is each exterior angle of an octagon? ___________

20. How many degrees is each exterior angle of a hexagon? ___________

21. The measure of an interior angle of a regular polygon is 108 degrees.

How many sides must this polygon have?

________________

22. The measure of an interior angle of a regular polygon is 144 degrees.

How many sides must this polygon have?

________________

23. The measure of an interior angle of a regular polygon is 150 degrees.

How many sides must this polygon have?

________________

24. If one exterior angle of a regular polygon measures 72°, what

is the measure of one interior angle?

________________

25. A portion of a regular polygon is shown above.

How many sides must the polygon have? ___________

26. True story: I am planning to build a large flowerbed in the shape of a regular octagon.

I will use thick pieces of wood like railroad ties that are 8 feet in length. Once I have

the first piece of wood put down, what interior angle should I make with the next piece

of wood that I place down in order to make sure that I get a regular octagon (remember

that regular means all the angles will be the same along with the lengths, which you

already know is 8 feet).

____________