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Grade 8 - Polygon Worksheet 3

1. If a regular polygon is having 12 sides, then find the interior and exterior angles.

a) 120° and 60°                    b) 30° and 150°
c) 145° and 35°                    d) 150° and 30°

2. If a regular polygon is having each exterior angle 45°, then find the number of sided of the polygon.

a) 5                    b) 6
c) 8                    d) 7

3. If a regular polygon is having each interior angle 160o, then find the number of sided of the polygon.

a) 17                    b) 15
c) 18                    d) 16

4. Find the number of sides of a regular polygon, if its interior angle is 65 of a right angle.

a) 6                    b) 5
c) 7                    d) 8

5. Find the number of sides of a regular polygon, if its exterior angle is 15 of a right angle.

a) 6                    b) 5
c) 7                    d) 10

6. Find the number of sides in a regular polygon, if its interior angle is equal to exterior angle.

a) 4                    b) 5
c) 6                    d) 7

7. The exterior angle of a regular polygon is one third of its interior angle. Find the number of sides of the polygon.

a) 120°                    b) 135°
c) 145°                    d) 150°

8. It is possible to have a regular polygon having each exterior angle as 75°. Mark True / False.

a) True                     b) False

9. It is possible to have a regular polygon whose each exterior angle is equal to 40° of a right angle. Mark True / False.

a) True                     b) False

10. The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find each exterior angle of the polygon

a) 120°                     b) 45°
c) 150°                     d) 60°

11. Calculate the number of sides of a regular polygon, if its interior angle is 5 times its exterior angle.

a) 7                     b) 10
c) 8                     d) 12

12. Calculate the number of sides of a regular polygon, if its exterior angle exceeds its interior angle by 60°.

a) 2                     b) 3
c) 4                     d) 5

13. The ratio of the number of sides of two regular polygons is 1 : 2, and the ratio of the sum of their interior angles is 3 : 8. Find the number of sides of each polygon.

a) 4 and 8                     b) 3 and 6
c) 5 and 10                    d) 6 and 12

14. If the sum of all interior angles of a polygon is 16 right angles, then find the number of sides of the polygon.

a) 7                     b) 10
c) 8                     d) 12

15. The interior angles of a pentagon are in the ratio of 4 : 5 : 6 : 7 : 5. Find the smallest angle of the pentagon.

a) 20°                     b) 60°
c) 80°                     d) 100°

16. The number of sides in a polygon can be a natural number or a fraction or a decimal number. Mark True / False.

a) True                     b) False

17. The smallest number of sides of a polygon is 4. Mark True / False.

a) True                     b) False

18. If the measures of exterior angles of a pentagon is x°, 2x°, 3x°, 4x°, and 5x°, then find the largest exterior angle.

a) 120°                     b) 130°
c) 110°                     d) 150°

19. Two angles of a hexagon are 120° and 100°. If the remaining four angles are equal, then find its smallest angle.

a) 120°                     b) 125°
c) 110°                     d) 100°

20. The angles of a hexagon are x + 10°, 2x + 20°, 2x − 20°, 3x − 50°, x + 40°, and x + 20°. Find the value of xo.

a) 120°                     b) 70°
c) 110°                     d) 80°

If you want to download the above worksheet, please click below link.

Polygon Worksheet-3Download the pdf

Polygon Worksheet - 1

Polygon Worksheet - 2

Polygon Worksheet - 3

Answer Sheet

Polygon-AnswerDownload the pdf











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