NCERT Class 8 Mathematics Solutions: Chapter 3 – Understanding Quadrilaterals Exercise 3.1 Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Given this Figure is Sum of Interior Angles of Convex Polygo …

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

Examine the Table
FigureImage
Isosceles Triangle
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This Figure Divide Two Triangle
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This Figure Divide Three Triangle
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This Figure Divide Four Triangle
Side3456
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