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Geometry 10-1/10-2 WS
Classify each polygon by the number of sides, and as convex or concave.
1.
2.
3.
Name each part of heptagon ABCDEFG.
4. Two nonconsecutive vertices
5. Two diagonals
6. Three consecutive sides
7. Four consecutive angles
8. Two vertices nonconsecutive to C
Find the sum of the measures of the interior angles of each figure.
9.
10.
Find the measure of one interior angle and one exterior angle of each regular polygon. If
necessary, round to the nearest tenth.
11. Nonagon
12. Dodecagon
13. Heptagon
14. Triangle
15. The sum of the measures of six exterior angles of a heptagon is 310. What is the
measure of the seventh exterior angle?
16. The sum of the measures of seven interior angles of an octagon is 1000. What is the
measure of the eighth interior angle?
17. The measure of an interior angle of a regular polygon is 157.5°. Find the number of
sides of the polygon.
18. The measures of the exterior angles of a quadrilateral are x, 3x, 5x, and 3x. Find x
and the measure of each exterior angle of the quadrilateral.
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