RD Sharma Solutions for Class 7 Maths Chapter 14 Lines and Angles

Mathematics is a subject that helps us understand the world around us using numbers, shapes, and patterns. One of the most important topics in geometry is Lines and Angles, and it plays a big role in our daily lives too—like when we see a road turning, the hands of a clock moving, or two walls meeting at a corner. Chapter 14 in the RD Sharma Class 7 Maths book introduces us to the basics of lines, types of angles, and how they are related to each other. To make learning easier and more enjoyable, RD Sharma Solutions for this chapter give clear explanations and step-by-step answers to all the exercise questions.

In this chapter, students will first learn what a line, line segment, and ray are. A line goes on forever in both directions, while a line segment has two endpoints. A ray has a starting point but goes on forever in one direction. These are the basic building blocks of geometry. Then, we move on to angles—formed when two rays meet at a point. We’ll learn different types of angles like acute angles (less than 90°), right angles (exactly 90°), obtuse angles (more than 90° but less than 180°), and more.

The chapter also covers pairs of angles such as complementary angles, supplementary angles, adjacent angles, and vertically opposite angles. These help us understand how angles relate to each other in different shapes and figures. One of the most important parts of this chapter is understanding the properties of intersecting lines and how to solve problems based on these properties.

Do Check: RD Sharma Solutions for Class 6 to 12

The RD Sharma Solutions for Class 7 Chapter 14 give students detailed answers to all textbook problems. Each solution is written in a simple way so that students can understand the logic and steps behind it. These solutions also include diagrams and important tips to help students solve similar questions easily in their exams.

By studying these solutions, students will not only do well in tests but also build a strong foundation in geometry. These concepts are useful in higher classes too. So, whether you're preparing for a test or just want to understand lines and angles better, RD Sharma Solutions for Chapter 14 are a great guide to help you succeed.

Download RD Sharma Solutions for Class 7 Maths Chapter 14 Lines and Angles PDF Here

RD Sharma Class 7 Chapter 14 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 14 PDF.

Access Answers to RD Sharma Solutions for Class 7 Maths Chapter 14 Lines and Angles

In this chapter, students will learn about decimals and how to perform basic operations with them. The solutions provided here are detailed and easy to follow, helping students understand each concept thoroughly.

Q1. Find the complement of each of the following angles:

(i) 35°
To find the complement, subtract the angle from 90°:
90° – 35° = 55°

(ii) 72°
90° – 72° = 18°

(iii) 45°
90° – 45° = 45°

(iv) 85°
90° – 85° = 5°

Q2. Find the supplement of each of the following angles:

(i) 70°
To find the supplement, subtract the angle from 180°:
180° – 70° = 110°

(ii) 120°
180° – 120° = 60°

(iii) 135°
180° – 135° = 45°

(iv) 90°
180° – 90° = 90°

Q3. Identify the complementary and supplementary pairs of angles from the following pairs:

(i) 25°, 65°
25° + 65° = 90°
This is a complementary pair.

(ii) 120°, 60°
120° + 60° = 180°
This is a supplementary pair.

(iii) 63°, 27°
63° + 27° = 90°
This is a complementary pair.

(iv) 100°, 80°
100° + 80° = 180°
This is a supplementary pair.

Q4. Can two obtuse angles be supplementary, if both of them are:

(i) Obtuse?
No. Two obtuse angles add up to more than 180°, so they cannot be supplementary.

(ii) Right?
Yes. Two right angles (90° + 90°) add up to 180°, so they are supplementary.

(iii) Acute?
No. Two acute angles are always less than 90°, so together they cannot make 180°.

Q5. If two supplementary angles have equal measure, what is the measure of each angle?

Let the two equal angles be x.
Since they are supplementary: x + x = 180°
2x = 180°
x = 180° / 2 = 90°
So, both angles measure 90°.

Q6. If the complement of an angle is 28°, then find the supplement of the angle.

Let the angle be x.
x + 28° = 90°
x = 90° – 28° = 62°
Now, supplement = 180° – 62° = 118°

Q7. One of the angles forming a linear pair is a right angle. What can you say about its other angle?

If one angle is 90°, and both make a linear pair, then:
Other angle = 180° – 90° = 90°

Q8. One of the angles forming a linear pair is an obtuse angle. What kind of angle is the other?

If one angle is obtuse (more than 90°), the other must be acute (less than 90°) so that together they make 180°.

Q9. One of the angles forming a linear pair is an acute angle. What kind of angle is the other?

If one angle is acute (less than 90°), the other must be obtuse (more than 90°) to make 180°.

Q10. Can two acute angles form a linear pair?

No. Two acute angles together are always less than 180°, so they cannot form a linear pair.

Q11. If the supplement of an angle is 65°, then find its complement.

Let the angle be x.
x + 65° = 180°
x = 180° – 65° = 115°
Now, 115° is more than 90°, so it cannot have a complement.