Lines and Angles for Class 7 NCERT Solutions

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Lines and Angles for Class 7 NCERT Solutions takshilalearning.com/lines-and-angles-for-class-7-ncert-solutions/ January 15, 2022

lines and angles for class 7

Lines and Angles: CBSE Class 7 Maths Worksheet with Answers Lines and Angles for Class 7 This worksheet is for class 7 maths and it comprises the topic of lines and angles. It will help students to have a better understanding of geometry and its associated terms. After solving the worksheet, students will be able to answer the following questions – 1. What is geometry? 2. What is a line? 3. What is a line segment? 4. What is the difference between a line and a line segment? 5. What is an angle? 6. What are the types of angles? 7. What is the angle of a straight line? 8. What are complementary angles? 9. What are supplementary angles?

What is geometry? It is the branch of mathematics that deals with the properties and relations of points, lines, surfaces etc. What is a line?

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A line is a long one-dimensional mark or a long path that goes till infinity. What is a line segment? A line segment is a long mark or a line that connects two specific points.

All line segments are lines but not all lines are line segments.

What is the difference between a line and a line segment? A line is a long mark without any endpoints while a line segment is a long mark that has defined endpoints. What is an angle? An angle is a figure formed by two line segments or rays when they meet at a single point called the vertex. The 2 line segments are called the sides of the angle. It is denoted by the degree sign that is º.

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For example, 90º means ninety degrees.

What are the types of angles? Angles are of three types: 1. Acute angle 2. Obtuse angle 3. Right angle Acute angle An angle formed by two rays or line segments less than 90 degrees and more than 0 degrees is called an acute angle. Examples – 45º, 50º, 10º, 89º, etc. Obtuse angle An angle formed by two rays or line segments more than 90 degrees but less than 180 degrees is called an obtuse angle. Examples – 91º, 100º, 120º, etc. What is a right angle?

A 90 degrees angle formed by two rays or line segments is called a right angle.

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What is the angle made by a straight line?

The angle made by a straight line is 180 degrees as shown in the image above.

What are complementary angles? When the sum of two angles is 90 degrees, then the two angles are said to be complementary to each other. Example –

In the image above, if we add 60 degrees and 30 degrees, we will form an angle that is 90 degrees. Therefore, these angles are said to be complementary angles.

What are supplementary angles? When the sum of two angles is 180 degrees, then the two angles are said to be supplementary to each other. Example –

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In the image above, if we add 130 degrees and 50 degrees, we will form an angle that is 180 degrees. Therefore, these angles are said to be complementary angles.

Lines and angles worksheet class 7 Exercise I. Fill in the table with the corresponding angles – Sl no.

Angle

1

45º

2

65º

3

120º

4

90º

5

6

30º

7

150º

8

11º

9

10

180º

Complementary angle

Supplementary angle

II. Find the values of x and y in the following diagrams: a.

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b.

c.

Download Printable lines and angles worksheet for grade 7

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lines and angles worksheet class 7

ANSWER I. Sl no.

Angle

Complementary angle

Supplementary angle

1

45º

45º

135º

2

65º

25º

115º

3

120º

60º

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4

90º

90º

5

90º

180º

6

30º

60º

160º

7

150º

8

11º

79º

169º

9

89º

179º

10

180º

30º

II. a. x=54º, y= 90º b. x= 45º, y= 45º c. x=60º Related grade 7 maths Addition and Subtraction of Fraction Comparing quantities Maths Worksheet Class 7 Exponents and Powers Class 7 Prepare NCERT Class 7 Maths with our Online Tuition Classes for 7th and Interactive Live Online Classes Here at Takshila Learning online live class platform, we provide Online Classes for School from Preschool to Class 12 for all subjects. We provide the best online tuition classes for Class 10 and other classes that comprise Video lectures and Online Live Classes that will help students to grasp concepts easily. We also provide Worksheets & Assignments, Doubt sessions, Free Encyclopedia, NCERT Solutions for Class 6 to 12, and Exam Guru to monitor your progress, i.e., subject-wise and topic-wise. So now Enjoy E-Learning with Takshila Learning. Learning is fun now! Subscribe to our social channel. Enroll today & Get Free Demo Class!

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