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Geometry Worksheet 6-1
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In #1-5, find the sum of the measures of the interior angles of the polygon. Show work.
1. a quadrilateral
2. an octagon
4. a pentagon
5. a dodecagon
3. a decagon
6. Would your answers to #1-5 change is the polygons were regular polygons? Explain.
7. What is the sum of the exterior angles
of a hexagon?
8. What is the sum of the exterior angles of
an octagon?
In #9-13, find the measure of the interior and exterior angles of each regular polygon.
Show work.
9. an octagon
10. a decagon
11. a 15-gon
12. a nonagon
13. a 14-gon (answer is a fraction)
In #14-16, find the number of sides of a regular polygon if each interior angle has the given
measure. Show work.
14. 156º
15. 162º
16. 168º
In #17-19, find the number of sides of a regular polygon if each exterior angle has the given
measure. Show work.
17. 8º
18. 40º
19. 5°
In #20-22, the sum of the measures of the interior angles of a polygon is given. Find the
number of sides of each polygon. Show work.
20. S = 900
21. S = 1980
22. S = 2160
23. If the sum of the measures of nine angles of a decagon is 1290, what is the measure of the
tenth angle?