Polygons And Quadrilaterals Worksheet - Unit 9, Humble Independent School District Page 6
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35Angles in Polygons – Assignment Part 1
I. Fill in the chart for the regular polygons.
∠
Sum of Exterior
∠
∠
∠
Polygon
Sum of Interior
’s
Each Interior
’s
Each Exterior
octagon
heptagon
20-gon
pentagon
1440°
12-gon
18-gon
hexagon
40°
36-gon
60°
90°
72-gon
II. Solve the following word problems.
1) If the sum of the interior angles is 1980°, what is the name of the polygon?
2) If each of the exterior angles is 15°, what is the name of the polygon?
3) If each on the interior angles is 108°, what is the name of the polygon?
4) If it is a decagon, what is the sum of the exterior angles?
5) If the sum of the interior angles is 3600°, what is the name of the polygon?
6) If each of the exterior angles is 24°, what is the name of the polygon?
7) If each of the interior angles is 135°, what is the name of the polygon?
8) If each of the exterior angles is 60°, what is the name of the polygon?
9) If each interior angle is 160°, what is the name of the polygon?
Find the value of x in each of the following.
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