NCERT Class 8 Mathematics Solutions: Chapter 3 –Understanding Quadrilaterals Exercise 3.1 Part 4

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Given this figure is sum of interior angles of convex polygo …

Types of Convex Polygon

Question: 4 Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)

Examine the table

Figure

Image

Isosceles Triangle

Image

This Figure Divide Two Triangle

Image

This Figure Divide Three Triangle

Image

This Figure Divide Four Triangle

Side

3

4

5

6

Angle Sum

What can you say about the angle sum of a convex polygon with number of sides?

(a) 7 (b) 8 (c) 10 (d) n

Answer:

The angle sum of a polygon having side

(a) Given the number of sides 7

When , then

Angle sum of a polygon

(b) Given the number of sides 8

When , then

Angle sum of an octagon

(c) Given the number of sides 10

When , then

Angle sum of a Decagon

(d) Given the number of sides n

When, then

Angle sum of a polygon