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

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

 Figure ImageIsosceles Triangle ImageThis Figure Divide Two Triangle ImageThis Figure Divide Three Triangle ImageThis 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

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