# Worksheet on Polygon and its Classification

Practice the questions given in the worksheet on polygon and its classification.

We know that a simple closed figure bounded by straight line segments is call a polygon and the line segments forming the polygon are called the sides of polygon.

1. Which of the following are polygons? Give reasons.

2. How many diagonals do the following polygons have?

(a) Regular Hexagon

(c) Octagon

(d) Triangle

(f) Pentagon

3. Draw a regular hexagon. Join any three of its vertices and draw a triangle. Name the triangle obtained.

4. What is a regular polygon? Write the names of regular polygons having

(a) 3 sides

(b) 4 sides

(c) 5 sides

5. What can you say about the angle sum property of a convex polygon having:

(a) 9 sides

(b) 7 sides

(c) 10 sides

(d) 12 sides

6. Find each interior angle in a regular polygon of

(a) 7 sides

(b) 10 sides

(c) 16 sides

(d) 21 sides

7. Find the number of sides of a polygon, the sum of whose interior angle is:

(a) 1440°

(b) 1080°

(c) 1800°

(d) 1260°

(e) 2340°

8. Find the number of sides of a polygon whose each interior angle is:

(a) 165°

(b) 135°

(c) 140°

(d) 162°

(e) 108°

9. Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is:

(a) 6

(b) 10

(c) 15

(d) 19

(e) 23

10. Find the sum of measure of interior angles of the following polygons having:

(a) 8 sides

(b) 13 sides

(c) 17 sides

(d) 21 sides

11. Calculate the sum of the interior angles of a regular polygon with:

(a) 12 sides

(b) 15 sides

(c) 20 sides

(d) 10 sides

12. Find the measure of each interior angles of a regular polygon having:

(a) 6 sides

(b) 10 sides

(c) 16 sides

(d) 25 sides

13. Find the number of sides of the polygon if sum of the measure of the interior angle is:

(a) 1800°

(b) 4500°

(c) 2880°

(d) 1080°

(e) 900°

(f) 2340°

(g) 3420°

14. Find the number of sides of the regular polygon if the measure of each interior angle is:

(a) 60°

(b) 135°

(c) 108°

(d) 156°

(e) 165°

(f) 120°

(g) 140°

(h) 160°

Answers for the worksheet on polygon and its classification are given below to check the exact answers of the above questions on polygons.

1. (b) closed figure bounded by straight lines

2. (a) 9

(b) 2

(c) 20

(d) 0

(e) 2

(f) 5

3. ∆ABC is isosceles, ∆ACF is right angled

4. A polygon is said to be regular if its sides and angles are equal.

(a) equilateral triangle

(b) square

(c) Regular pentagon

5. (a) 1260°

(b) 900°

(c) 1440°

(d) 1800°

6. (a) 128$$\frac{4}{7}$$°

(b) 144°

(c) 157$$\frac{1}{2}$$°

(d) 162$$\frac{6}{7}$$°

7. (a) 10

(b) 8

(c) 12

(d) 9

(e) 15

8. (a) 24

(b) 8

(c) 9

(d) 20

(e) 5

9. (a) 4

(b) 8

(c) 13

(d) 17

(e) 21

10. (a) 1080°

(b) 1980°

(c) 2700°

(d) 3420°

11. (a) 1800°

(b) 3240°

(c) 2340°

(d) 1440°

12. (a) 120°

(b) 108°

(c) 157.5°

(d) 165.6°

13. (a) 12

(b) 27

(c) 18

(d) 8

(e) 7

(f) 15

(g) 21

14. (a) 3

(b) 8

(c) 5

(d) 15

(e) 24

(f) 6

(g) 9

(h) 18

Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon