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NCERT Solutions For Class 8 Maths Chapter 3: Chapter 3 is on Understanding Quadrilaterals. In this article, we will provide you with detailed NCERT Solutions for Maths Class 8 Chapter 3. All the solutions provided here are solved by the top academic experts at Embibe. Here, in this article, you can download Chapter 3 Maths Class 8 solutions in PDF format for free.
NCERT Solutions for Class 8 Maths are prepared to keep in mind the latest CBSE curriculum and NCERT textbook syllabus. With the help of these solutions, all your doubts regarding Understanding Quadrilaterals will be cleared. Read on to get Class 8 Maths Chapter 3 Notes.
Before we provide you with Class 8 Maths NCERT Solutions Chapter 3, let’s have an overview of the topics in this chapter. Click on any topic to download the solutions as a PDF.
3.1 | Introduction |
3.2 | Polygons |
3.3 | Sum of the Measures of the Exterior Angles of a Polygon |
3.4 | Kinds of Quadrilaterals |
3.5 | Some Special Parallelograms |
Also, Check:
Students can check Class 8 NCERT Solutions for Maths for each exercise and in-text questions on this page. Also, we have provided NCERT Class 8 Maths Chapter 3 PDF download link below these solutions:
NCERT Solutions for Class 8 Maths Chapter 3 PDF Download
Download CBSE Class 8 Solutions for Maths for other chapters from the table below:
Let us start the summary of the Understanding Quadrilaterals chapter by reading a brief about Class 8 Maths Chapter 3 Introduction:
What is a curve?
It is a geometrical figure obtained by joining a number of points without lifting a pencil on paper.
Polygon: A simple closed curve made up of only line segments is called a polygon.
Polygons can be classified as follows:
Number of Sides or Vertices |
Classification |
3 |
Triangle |
4 |
Quadrilateral |
5 |
Pentagon |
6 |
Hexagon |
7 |
Heptagon |
8 |
Octagon |
9 |
Nonagon |
10 |
Decagon |
: |
: |
n |
n-gon |
What is a Quadrilateral?
A quadrilateral is a kind of polygon. It has four sides and four vertices. The sum of all angles of a quadrilateral is 360^{o}.
Kinds of Quadrilaterals
The quadrilaterals can be classified into different types according to the nature of sides and its angles. Different kinds of quadrilaterals are as follows:
2. Kite: Kite is a special type of quadrilateral. The sides with the same markings in each figure are equal. For example AB = AD and BC = CD.
3. Parallelogram: It is a quadrilateral with opposite sides parallel. The opposite sides of the parallelogram are of equal length.
Special Types of Parallelogram:
In the Understanding Quadrilaterals chapter, you will further study angle sum property, interior angles, exterior angles, about different angles and sides which will help you to distinguish between different quadrilaterals, and method to find their areas and different angles.
The preparation tips for the Chapter: Understanding Quadrilaterals will help the students to prepare systematically for this chapter. The tips are as follows:
Here we have provided some of the frequently asked questions related to Maths NCERT Solutions Class 8 Chapter 3:
A: Regular polygon: A polygon having sides of equal length and angles of equal measures is called a regular polygon. i.e., A regular polygon is both equilateral and equiangular.
(i) A regular polygon of 3 sides is called an equilateral triangle.
(ii) A regular polygon of 4 sides is called a square.
(iii) A regular polygon of 6 sides is called a regular hexagon.
What can you say about the angle sum of a convex polygon with number of sides?
(a) 7
(b) 8
(c) 10
(d) n
A: The angle sum of a polygon having side n = (n – 2) × 180°
a) 7
Here, n = 7
Thus, angle sum = (7-2)×180° = 5×180° = 900°
b) 8
Here, n = 8
Thus, angle sum = (8-2)×180° = 6×180° = 1080°
c) 10
Here, n = 10
Thus, angle sum = (10-2)×180° = 8×180° = 1440°
d) n
Here, n = n
Thus, angle sum = (n-2)×180°
A: Each exterior angle = sum of exterior angles/Number of angles
24°= 360/ Number of sides
⇒ Number of sides = 360/24 = 15
Thus, the regular polygon has 15 sides.
Q3: Find the angle measure x in the following figures.
A: a) The figure is having 4 sides. Hence, it is a quadrilateral. Sum of angles of the quadrilateral = 360°
⇒ 50° + 130° + 120° + x = 360°
⇒ 300° + x = 360°
⇒ x = 360° – 300° = 60°
b) The figure is having 4 sides. Hence, it is a quadrilateral. Also, one side is perpendicular forming a right angle.
Sum of angles of the quadrilateral = 360°
⇒ 90° + 70° + 60° + x = 360°
⇒ 220° + x = 360°
⇒ x = 360° – 220° = 140°
c) The figure is having 5 sides. Hence, it is a pentagon.
Sum of angles of the pentagon = 540°. Two angles at the bottom are linear pairs.
∴ 180° – 70° = 110°
180° – 60° = 120°
⇒ 30° + 110° + 120° + x + x = 540°
⇒ 260° + 2x = 540°
⇒ 2x = 540° – 260° = 280°
⇒ 2x = 280°
= 140°
A. Tips to score better for Class 8 CBSE Maths Exam
Create a List of Important Concepts.
Clear doubts about the chapter.
Refer to NCERT books and solutions on Embibe.
Practice former question papers.
Prepare according to the subject.
Q5. How can I get the best grade in Class 8 Maths?
A. Tips to score better for Class 8 CBSE Maths Exam
Create a List of Important Concepts.
Clear doubts about the chapter.
Refer to NCERT books and solutions on Embibe.
Practice former question papers.
Prepare according to the subject.
A: a) Exterior angle = 22°
Number of sides = sum of exterior angles/ exterior angle
⇒ Number of sides = 360/22 = 16.36
No, we can’t have a regular polygon with each exterior angle as 22° as it is not a divisor of 360.
b) Interior angle = 22°
Exterior angle = 180° – 22°= 158°
No, we can’t have a regular polygon with each exterior angle as 158° as it is not a divisor of 360.
Attempt 8th CBSE Exam Mock Tests
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