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 ∠2 is 65°.
Q. 1. What is the measure of ∠6?
(a) 30°
(b) 45°
(c) 25°
(d) 60°
Ans. Option (c) is correct.
Explanation: Clearly ∠2 + ∠3 = 90° (as l is perpendicular to n)
⇒ 65° + ∠3 = 90°
⇒ ∠3 = 90° – 65°
⇒ ∠3 = 25°
Now, ∠6 = ∠3 (Vertically opposite angles)
⇒ ∠6 = 25°
Q. 2. What is the sum of the measure of ∠3 and ∠4?
(a) 95°
(b) 115°
(c) 120°
(d) 155°
Ans. Option (b) is correct.
Explanation: ∠2+ ∠3 + ∠4 = 180°. (Linear pair)
65° + ∠3 + ∠4 = 180°
∠3 + ∠4 = 180° – 65°
∠3 + ∠4 = 115°
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
- Integers 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 90°
Right Angle: Exactly 90°
Obtuse Angle: More than 90° but less than 180°
Straight Angle: Exactly 180°
Reflex Angle: More than 180° but less than 360°
Complete Angle: Exactly 360°
Q2: What are complementary angles?
A2: Complementary angles are two angles whose sum is 90°. For example, if one angle measures 30°, the other angle must measure 60° to be complementary.
Q3: What are supplementary angles?
A3: Supplementary angles are two angles whose sum is 180°. For example, if one angle measures 120°, the other angle must measure 60° 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 180°.
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 70°, the vertically opposite angle will also be 70°.
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 180°. If two angles of a triangle are known, the third angle can be found by subtracting the sum of the known angles from 180°.
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 180°, and if one angle is 90°, the other two angles must together sum to 90°, 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 our 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 visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
