NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles

 

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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles-

We already know how to identify different lines, line segments, and angles in the shapes. In this chapter, we deal with lines, different kinds of angles and their measurements. There are only 2 exercises with 20 questions in this chapter. The NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles are designed and solved by our subject experts to help students in the preparation of the CBSE final examination of class 7. Lines and angles is an important topic for maths students. Students will also learn this topic in-depth in further classes. The NCERT solutions of class 7 Maths can be extremely helpful for the students to understand the basics of this chapter and to clear all their doubts easily. These NCERT Solutions are given here with a step-by-step explanation of each and every problem of NCERT textbook.

This chapter is all about the lines and angles. In this chapter students always confuse between a line, a ray and a line-segment. So, let's discuss each term one by one- A line segment has two endpoints. If we extend these two endpoints in either direction endlessly, we get a line. Thus, in other words, we can say that a line has no endpoints. A ray has only one endpoint which is its initial point. An angle is formed when line segments or lines meet. In NCERT Class 7 Maths Chapter 5 Lines and Angles we will study important concepts like different kinds of angles like complementary angles, adjacent angles, supplementary angles, vertically opposite angles; pairs of lines like intersecting lines, transversal and many more.

Important points of NCERT Class 7 Maths Chapter 5 Lines and Angles are-

  • An angle is formed when two lines or line-segments or rays meet  

    Pairs of Angles

             Condition

Two complementary angles

Measures add up to 90^o

Two supplementary angles

Measures add up to 180^o

Two adjacent angles 

Have a common arm and a common vertex but no common interior

Linear pair

Adjacent and supplementary

  • When two lines l and m are intersected it means they both are meet at a point and the meeting point is called the point of intersection.

  • When two lines l and m drawn on a sheet of paper do not meet or intersect, however far produced, then this lines called as parallel lines.

  • When two lines intersect we have two pairs of opposite angles. They are called vertically opposite angles and both angles are equal in measure.

  • Transversal- It is a line that intersects two or more than two lines at distinct points. And it gives rise to several types of angles. For example interior angles, exterior angles, corresponding angles, alternate interior, and alternate exterior angles.

Topics of NCERT Grade 7 Maths Chapter 5 Lines and Angles-

5.1 Introduction

5.2 Related Angles

5.2.1 Complementary Angles

5.2.2 Supplementary Angles

5.2.3 Adjacent Angles

5.2.4 Linear Pair

5.2.5 Vertically Opposite Angles

5.3 Pairs of Lines

5.3.1 Intersecting Lines

5.3.2 Transversal

5.3.3 Angles made by a Transversal

5.3.4 Transversal of Parallel Lines

5.4 Checking for Parallel Lines

The complete Solutions of NCERT Class 7 Mathematics Chapter 5 is provided below:

NCERT Solutions for Class 7 Maths - Chapter-wise 

Chapter No.

Chapter Name

Chapter 1

Integers

Chapter 2

Fractions and Decimals

Chapter 3

Data Handling

Chapter 4

Simple Equations

Chapter 6

The Triangle and its Properties

Chapter 7

Congruence of Triangles

Chapter 8

Comparing Quantities

Chapter 9

Rational Numbers

Chapter 10

Practical Geometry

Chapter 11

Perimeter and Area

Chapter 12

Algebraic Expressions

Chapter 13

Exponents and Powers

Chapter 14

Symmetry

 

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