Interior and Exterior of the Polygon

We will learn about the interior and exterior of the polygon.

Interior angles of the polygon:

Two consecutive sides meeting at a common point from an angle called the interior angle of the polygon.

A quadrilateral has four interior angles. In the given adjoining figure of a quadrilateral ∠BAD, ∠ADC, ∠DCB and ∠CBA are the four interior angles.

Interior Angles of a Quadrilateral


A pentagon has five interior angles. In the given adjoining figure of a pentagon ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB are the five interior angles.

Interior Angles of a Pentagon



A hexagon has six interior angles. In the given adjoining figure of a hexagon ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB are the six interior angles.

Interior Angles of a Hexagon


Exterior angles of the polygon:

On extending the side of the polygon, the angle formed outside, between the extended side and its consecutive side is called the exterior angle of the polygon.


A triangle has three exterior angles. In the given adjoining figure of a triangle ∠BAD, ∠ACF and ∠CBE and are the three exterior angles.

Exterior Angles of a Triangle



A quadrilateral has four exterior angles. In the given adjoining figure of a quadrilateral ∠DAE, ∠ABF, ∠BCG and ∠CDH are the four exterior angles.

Exterior Angles of a Quadrilateral



A pentagon has five exterior angles. In the given adjoining figure of a pentagon ∠EAF, ∠ABG, ∠BCH, ∠CDI and ∠DEJ are the five exterior angles.

Exterior Angles of a Pentagon

Note: An exterior angle and the adjacent interior angle form a linear pair.

Polygons

Polygon and its Classification

Terms Related to Polygons

Interior and Exterior of the Polygon

Convex and Concave Polygons

Regular and Irregular Polygon

Number of Triangles Contained in a Polygon

Angle Sum Property of a Polygon

Problems on Angle Sum Property of a Polygon

Sum of the Interior Angles of a Polygon

Sum of the Exterior Angles of a Polygon







7th Grade Math Problems 

8th Grade Math Practice 

From Interior and Exterior of the Polygon to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  2. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 20, 25 12:58 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  3. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More

  4. Worksheet on Area of a Square and Rectangle | Area of Squares & Rectan

    Jul 19, 25 05:00 AM

    Area and Perimeter of Square and Rectangle
    We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area. 1. Find the area of the square len…

    Read More

  5. Area of Rectangle Square and Triangle | Formulas| Area of Plane Shapes

    Jul 18, 25 10:38 AM

    Area of a Square of Side 1 cm
    Area of a closed plane figure is the amount of surface enclosed within its boundary. Look at the given figures. The shaded region of each figure denotes its area. The standard unit, generally used for…

    Read More

Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon