Last Updated on August 18, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 5 Lines and Angles. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter | Lines and Angles |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Lines and Angles

**Questions**

**Passage 1: **

Three lines shown in the figures intersect each other at point P.

Line l is perpendicular to line n.

The measure of âˆ 2 is 65Â°.

Q. 1. What is the measure of âˆ 6?

(a) 30Â°

(b) 45Â°

(c) 25Â°

(d) 60Â°

Ans. Option (c) is correct.

Explanation: Clearly âˆ 2 + âˆ 3 = 90Â° (as *l* is perpendicular to *n*)

â‡’ 65Â° + âˆ 3 = 90Â°

â‡’ âˆ 3 = 90Â° â€“ 65Â°

â‡’ âˆ 3 = 25Â°

Now, âˆ 6 = âˆ 3 (Vertically opposite angles)

â‡’ âˆ 6 = 25Â°

Q. 2. What is the sum of the measure of âˆ 3 and âˆ 4?

(a) 95Â°

(b) 115Â°

(c) 120Â°

(d) 155Â°

Ans. Option (b) is correct.

Explanation: âˆ 2+ âˆ 3 + âˆ 4 = 180Â°. (Linear pair)

65Â° + âˆ 3 + âˆ 4 = 180Â°

âˆ 3 + âˆ 4 = 180Â° â€“ 65Â°

âˆ 3 + âˆ 4 = 115Â°

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

### Topics from which case study questions may be asked

- Complementary Angles
- Supplementary Angles
- Intersecting Lines/Transversal
- Angles Made by a Transversal
- Transversal of Parallel Lines

Case study questions from the above given topic may be asked.

Two right angles never complement each other. Two obtuse angles never complement each other.

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### Frequently Asked Questions (FAQs) on Lines and Angles Case Study

### Q1: What are the different types of angles?

A1: There are several types of angles based on their measurements:**Acute Angle:** Less than 90Â°**Right Angle:** Exactly 90Â°**Obtuse Angle:** More than 90Â° but less than 180Â°**Straight Angle:** Exactly 180Â°**Reflex Angle:** More than 180Â° but less than 360Â°**Complete Angle:** Exactly 360Â°

### Q2: What are complementary angles?

A2: Complementary angles are two angles whose sum is 90Â°. For example, if one angle measures 30Â°, the other angle must measure 60Â° to be complementary.

### Q3: What are supplementary angles?

A3: Supplementary angles are two angles whose sum is 180Â°. For example, if one angle measures 120Â°, the other angle must measure 60Â° to be supplementary.

### Q4: What is a linear pair of angles?

A4: A linear pair of angles is formed when two adjacent angles have their non-common arms in a straight line. The sum of the angles in a linear pair is always 180Â°.

### Q5: What is the difference between parallel and intersecting lines?

A5: **Parallel Lines:** Two lines that are always the same distance apart and never meet, no matter how far they are extended, are called parallel lines.**Intersecting Lines:** Two lines that cross each other at exactly one point are called intersecting lines.

### Q6: **What are vertically opposite angles?**

A6: Vertically opposite angles are the angles formed opposite each other when two lines intersect. These angles are always equal. For example, if two lines intersect and one angle is 70Â°, the vertically opposite angle will also be 70Â°.

### Q7: **How do you find the measure of an unknown angle in a triangle?**

A7: The sum of the angles in any triangle is always 180Â°. If two angles of a triangle are known, the third angle can be found by subtracting the sum of the known angles from 180Â°.

### Q8: Can a triangle have more than one right angle?

A8: No, a triangle cannot have more than one right angle. The sum of all angles in a triangle is 180Â°, and if one angle is 90Â°, the other two angles must together sum to 90Â°, leaving no room for another right angle.

### Q9: **Are there any online resources or tools available for practicing comparing quantities case study questions?**

A9: We provide case study questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.