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Examine the Table. (Each Figure is Divided into Triangles and the Sum of the Angles Deduced from That.) What Can You Say About the Angle Sum of a Convex Polygon with Number of Sides? - CBSE Class 8 - Mathematics

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Question

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

Figure
Side 3 4 5 6
Angle sum 180°

2 × 180°

= (4 − 2) × 180°

3 × 180°

= (5 − 2) × 180°

4 × 180°

= (6 − 2) × 180°

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

a) 7

b) 8

c) 10

d) n

 

Solution

From the table, it can be observed that the angle sum of a convex polygon of nsides is (n −2) × 180º. Hence, the angle sum of the convex polygons having number of sides as above will be as follows.

(a) (7 − 2) × 180º = 900°

(b) (8 − 2) × 180º = 1080°

(c) (10 − 2) × 180º = 1440°

(d) (n − 2) × 180°

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 3: Understanding Quadrilaterals
Ex. 3.10 | Q: 4 | Page no. 41

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Solution Examine the Table. (Each Figure is Divided into Triangles and the Sum of the Angles Deduced from That.) What Can You Say About the Angle Sum of a Convex Polygon with Number of Sides? Concept: Polygons - Convex and Concave Polygons.
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