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For students who are having trouble solving problems, the “lines and angles class 7 NCERT chapter is the perfect study material. This chapter covers important topics related to lines, angles, and their properties, which are fundamental to understanding more advanced geometry.
Class 7 Maths NCERT Lines and Angles solutions might assist students in quickly clearing their doubts and effectively understanding the topic. These Lines and Angles Class 7 NCERT PDF solutions offer step-by-step explanations and detailed workings for all the exercise questions, ensuring that students have a clear understanding of the concepts and can apply them correctly.
Students who want to improve their math grades should use the NCERT Solutions for Class 7 Maths Lines and Angles. These solutions not only help in understanding the chapter but also provide valuable practice through the exercise questions. By working through the “lines and angles class 7 ncert solutions”, students can develop a strong foundation in the topic and gain confidence in solving similar problems.
NCERT Solutions are prepared by subject matter experts, ensuring that the content is accurate, comprehensive, and aligned with the CBSE Syllabus curriculum. Students can use these solutions as a reliable reference to supplement their textbook learning and enhance their overall understanding of the chapter.
Also Check – Lines and Angles Class 7 Extra Questions Maths Chapter 5
In addition to the exercise questions, the NCERT Solutions also include additional questions and practice problems that can help students further strengthen their skills and prepare for exams. By regularly practicing with these solutions, students can improve their problem-solving abilities and develop a deeper appreciation for the concepts covered in the chapter.
Overall, the NCERT solutions for class 7 Maths Lines and Angles are an invaluable resource for students who want to excel in this important topic. By using these solutions, students can overcome their difficulties, improve their performance, and build a strong foundation in mathematics.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles PDF Download
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Questions with Answers
1. Find the value of x if the sum of the angles in a linear pair is given as 180° and one angle is 70°.
Solution: Let the other angle be x.
70° + x = 180°
x = 180° – 70°
x = 110°
Answer: x = 110°
Explanation: To solve for x, subtract 70° from 180°.
2. Find the measure of each angle of a pair of supplementary angles if one angle is 40° more than the other.
Solution: Let one angle be x and the other angle be (x + 40°).
x + (x + 40°) = 180°
2x + 40° = 180°
2x = 140°
x = 70°
Answer: The angles are 70° and 110°.
Explanation: Solve for x and x + 40° to find the angles.
3. Find the complement of an angle measuring 25°.
Solution: The complement of an angle is 90° minus the angle.
Complement = 90° – 25°
Complement = 65°
Answer: The complement is 65°.
Explanation: Subtract the angle from 90°.
4. Find the supplement of an angle measuring 120°.
Solution: The supplement of an angle is 180° minus the angle.
Supplement = 180° – 120°
Supplement = 60°
Answer: The supplement is 60°.
Explanation: Subtract the angle from 180°.
5. Find the angles which are complementary to each other, if one angle is 35°.
Solution: Complementary angles sum up to 90°.
Let one angle be x.
x + 35° = 90°
x = 90° – 35°
x = 55°
Answer: The angles are 35° and 55°.
Explanation: Solve for x to find the complementary angle.
6. Find the measure of each angle of a pair of complementary angles if one angle is 40° more than the other.
Solution: Let one angle be x and the other angle be (90° – x).
x = (90° – x) + 40°
x = 130° – x
2x = 130°
x = 65°
Answer: The angles are 65° and 25°.
Explanation: Solve for x and (90° – x) to find the angles.
7. If two angles are supplementary and one angle is 20° more than the other, find the angles.
Solution: Let one angle be x and the other angle be (180° – x).
x = (180° – x) + 20°
x = 200° – x
2x = 200°
x = 100°
Answer: The angles are 100° and 80°.
Explanation: Solve for x and (180° – x) to find the angles.
8. Find the value of x if two adjacent angles are supplementary and one angle measures 80°.
Solution: Let one angle be x.
x + 80° = 180°
x = 180° – 80°
x = 100°
Answer: x = 100°
Explanation: To solve for x, subtract 80° from 180°.
9. Find the measure of an angle which is one-third of its supplement.
Solution: Let the angle be x.
x = \frac{1}{3}(180° – x)
3x = 180° – x
4x = 180°
x = \frac{180°}{4}
x = 45°
Answer: The angle is 45°.
Explanation: Solve for x to find the angle.
10. Find the value of x if the angles form a linear pair and one angle measures 120°.
Solution: Let the other angle be x.
120° + x = 180°
x = 180° – 120°
x = 60°
Answer: x = 60°
Explanation: To solve for x, subtract 120° from 180°.
11. Find the angles which are supplementary to each other if one angle is 100°.
Solution: Supplementary angles sum up to 180°.
Let one angle be x.
x + 100° = 180°
x = 180° – 100°
x = 80°
Answer: The angles are 100° and 80°.
Explanation: Solve for x to find the supplementary angle.
12. Find the measure of each angle if two angles are complementary and one angle measures 50°.
Solution: Let one angle be x.
x + 50° = 90°
x = 90° – 50°
x = 40°
Answer: The angles are 50° and 40°.
Explanation: Solve for x to find the complementary angle.
13. Find the angles which are supplementary to each other if one angle is 120°.
Solution: Supplementary angles sum up to 180°.
Let one angle be x.
x + 120° = 180°
x = 180° – 120°
x = 60°
Answer: The angles are 120° and 60°.
Explanation: Solve for x to find the supplementary angle.
14. Find the measure of each angle if two angles are complementary and one angle measures 70°.
Solution: Let one angle be x.
x + 70° = 90°
x = 90° – 70°
x = 20°
Answer: The angles are 70° and 20°.
Explanation: Solve for x to find the complementary angle.
15. Find the value of x if the angles are complementary and one angle measures 30°.
Solution: Let one angle be x.
x + 30° = 90°
x = 90° – 30°
x = 60°
Answer: x = 60°
Explanation: To solve for x, subtract 30° from 90°.
16. Find the measure of each angle if two angles are supplementary and one angle measures 140°.
Solution: Let one angle be x.
x + 140° = 180°
x = 180° – 140°
x = 40°
Answer: The angles are 140° and 40°.
Explanation: Solve for x to find the supplementary angle.
17. Find the measure of an angle which is two-thirds of its supplement.
Solution: Let the angle be x.
x = \frac{2}{3}(180° – x)
3x = 2(180° – x)
3x = 360° – 2x
5x = 360°
x = \frac{360°}{5}
x = 72°
Answer: The angle is 72°.
Explanation: Solve for x to find the angle.
18. Find the value of x if the angles form a linear pair and one angle measures 150°.
Solution: Let the other angle be x.
150° + x = 180°
x = 180° – 150°
x = 30°
Answer: x = 30°
Explanation: To solve for x, subtract 150° from 180°.
19. Find the measure of each angle if two angles are complementary and one angle measures 35°.
Solution: Let one angle be x.
x + 35° = 90°
x = 90° – 35°
x = 55°
Answer: The angles are 35° and 55°.
Explanation: Solve for x to find the complementary angle.
20. Find the value of x if the angles are supplementary and one angle measures 160°.
Solution: Let the other angle be x.
160° + x = 180°
x = 180° – 160°
x = 20°
Answer: x = 20°Explanation: To solve for x, subtract 160° from 180°.
There are two problems in NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles.
Let’s have a look at some of the themes discussed in this chapter.
- An Overview of Lines and Angles
- Related angles
- Complementary Angles
- Supplementary Angles
- Adjacent Angles
- Linear Pair
- Vertically Opposite Angles
- Pairs of Lines
- Intersecting Lines
- Transversal
- Angles made by a Transversal
- Transversal of Parallel Lines
- Checking for Parallel Lines
NCERT Solutions for Class 7 Maths Chapter 5
On INFINITY learn’s official website, NCERT solutions for class 7 Maths chapters are thoroughly described in simple language and are available in PDF format. Students can also use these solutions with just a basic internet connection and an electronic device, allowing them to practice at their own speed anytime they choose. NCERT solutions for class 7 chapter 5 Maths topics mentioned in the PDF are solved by qualified teachers.
Key Features of NCERT Solutions for Class 7 Maths Chapter 5
Students can benefit greatly from the NCERT Solution for Class 7 Maths Chapter 5 PDF accessible on INFINITY learn. Students are more competitive and knowledgeable in this modern age. Use the well-designed NCERT Solutions for Class 7 Maths Lines and Angles chapter on INFINITY learn’s official website to improve your skills. It is extremely valuable to all students for further reference and knowledge outside of class.
Our NCERT Solutions are clear and comprehensive, covering all themes.
- Our solutions are written in plain, easy-to-understand language by subject specialists in order to reach all pupils.
- It improves students’ understanding, allowing them to take competitive math tests and boosting their self-confidence.
- It uses live chat to maintain a smooth and cordial relationship between students and instructors. It assists them in quickly resolving their doubts.
Class 7 Maths Chapter 5 Lines and Angles FAQs
What are the key concepts covered in NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?
The key concepts covered in NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles include lines, line segments, angles, types of angles (acute, obtuse, right, straight, reflex), linear pairs, corresponding angles, alternate interior angles, alternate exterior angles, interior angles of polygons, and the sum of interior angles of different types of polygons.
How do I use NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles to solve problems?
To use NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles to solve problems, follow these steps: Read the problem carefully and identify the relevant concepts. Use the concepts to identify the type of angle or angle pair involved. Apply the relevant formulas or theorems to solve the problem. Check your solution by verifying that it satisfies the given conditions.
What are some common mistakes to avoid while solving problems in NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?
Some common mistakes to avoid while solving problems in NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles include: Misidentifying the type of angle or angle pair. Applying the wrong formula or theorem. Not verifying the solution. Not considering the given conditions
How can I improve my understanding of NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?
To improve your understanding of NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles, follow these steps: Read the chapter carefully and take notes on key concepts. Practice solving problems from the chapter. Review and revise regularly. Use visual aids like diagrams and graphs to help you understand the concepts.
What are some additional resources I can use to supplement my learning of NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?
Some additional resources you can use to supplement your learning of NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles include: Online tutorials and video lectures. Practice worksheets and quizzes. Interactive simulations and games. Textbooks and study guides from other publishers. Online forums and discussion groups for math students.
