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HW Classify Polygons
Date ___________________
Tell whether the figure is a polygon. If it is a polygon, tell whether it is convex or concave.
1.
2.
3.
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or
regular. Explain your reasoning.
4.
5.
6.
7. The expressions (3x + 63)° and (7x – 45)° represent the measures of two angles of a regular decagon. Find
the measure of an angle of the decagon.
Each figure is a regular polygon. Find the value of x.
7.
8.
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10.
11.
12. Picture frames A picture frame with a wooden border is a regular triangle, as shown. You want to decorate
the frame by wrapping a ribbon around it. How many feet of ribbon are needed to wrap the ribbon around the
border one time?
Find the sum of the measures of the interior angles of the indicated convex polygon.
13. Hexagon
14. Dodecagon
15. 20-gon
The sum of the measures of the interior angles of a convex polygon is given. Classify the polygon by the
number of sides.
16. 180°
Find the value of x.
20.
17. 540°
18. 2520°
21.
19. 3960
22.
23
24. The measures of the exterior angles of a convex quadrilateral are 90°, 10x°, 5x°, and 45°. What is the
measure of the largest exterior angle?
Find the measures of an interior angle and an exterior angle of the indicated polygon.
25. Regular triangle
26. Regular 16-gon
27. Regular 60-gon
In Exercises 28 &29, find the value of n for each regular n-gon described.
28.
Each interior angle of the regular n-gon has a measure of 140°.
29.
Each exterior angle of the regular n-gon has a measure of 45°.