This document discusses polygons. It defines a polygon as a closed figure with three or more sides. Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, septagons, and octagons. The sum of the inner angles of an n-sided polygon is (n-2) x 180 degrees. The sum of the outer angles of any polygon is equal to 360 degrees. A regular polygon has equal sides and angles. Examples of regular polygons include equilateral triangles and squares.

2. VARADA K
Roll No: 24
B.Ed Mathematics
KUTEC, Dharmasala

3. POLYGONS

4. Polygons
• The word polygon means
“many angles”
• A closed figure with three
or more sides are called
Polygons.

5. Examples of Polygons

6. These are not Polygons:

7. Types of Polygons
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Septagon
• Octagon
• Nonagon
• Decagon

8. Inner and outer angle
 Inner angle: An angle formed by two
adjacent sides inside the polygon
 Outer angle: An angle formed by two
adjacent sides out side the polygon or an
outer angle of a polygon is formed by
extending one side of a polygon.
INNER ANGLE+OUTER ANGLE OF A POLYGON=1800

9. Inner and outer angle

10. Sum of the angles of a Polygon
 The sum of the angles of an
n-sided polygon is (n-2) x
1800

11. Sum of the outer angles of a Polygon
 The sum of the outer angles
of any Polygon is equal to
3600

12. Example

13. Regular Polygons
• A Polygon with equal sides
and angles is called a regular
Polygon.

14. Examples of a Regular Polygon
• Equilateral triangle
• Square
• Regular Pentagon
• Regular Hexagon, etc

15. Thank You