Case Study Questions Class 9 Maths Chapter 6 are very important to solve for your exam. Class 9 Maths Chapter 6 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 9 Maths Chapter 6 Lines and Angles

CBSE Case Study Questions for Class 9 Maths Lines and Angles PDF

Case Study Questions Class 9 Maths Chapter 6 Lines and Angles

Case Study 1.A group of students is studying the concepts of lines and angles. They encountered the following scenario during their class:

A classroom has two parallel boards, Board A and Board B, on opposite walls. Two students, Rahul and Riya, are standing in the classroom, facing the boards. Rahul is standing between the two boards and looking at Board A, while Riya is standing near Board B and looking at Board A. They observed the following:

1. Rahul and Riya are facing each other.
2. Rahul’s left hand is pointing towards the ceiling.
3. Riya’s right hand is pointing towards the floor.

Based on this information, the students were asked to analyze the angles formed by the hands of Rahul and Riya. Let’s see if you can answer the questions correctly:

Q1. The angle formed between Rahul’s left hand and his line of sight is a:
(a) Right angle
(b) Obtuse angle
(c) Acute angle
(d) Straight angle

Answer: (a) Right angle

Q2. The angle formed between Riya’s right hand and her line of sight is a:
(a) Right angle
(b) Obtuse angle
(c) Acute angle
(d) Straight angle

Answer: (a) Right angle

Q3. The angle between the hands of Rahul and Riya is a:
(a) Complementary angle
(b) Supplementary angle
(c) Vertical angle
(d) Adjacent angle

Answer: (c) Vertical angle

Q4. The angle formed between Rahul’s left hand and Riya’s right hand is a:
(a) Complementary angle
(b) Supplementary angle
(c) Vertical angle
(d) Adjacent angle

Answer: (b) Supplementary angle

Q5. The sum of all the angles formed by the hands of Rahul and Riya is:
(a) 180 degrees
(b) 360 degrees
(c) 90 degrees
(d) 270 degrees

Answer: (b) 360 degrees

Case Study 2.A group of students is learning about the properties of angles and the concepts of lines. During their study session, they encountered the following scenario:

In their classroom, there is a wall with a vertical line drawn on it. The line is intersected by a horizontal line, forming four angles. The students observed the following:

1. The angle formed at the top-left corner is acute.
2. The angle formed at the top-right corner is obtuse.
3. The angle formed at the bottom-left corner is a right angle.
4. The angle formed at the bottom-right corner is a straight angle.

Based on this information, the students were asked to analyze the angles formed by the intersecting lines. Let’s see if you can answer the questions correctly

Q1. The acute angle formed at the top-left corner measures:
(a) 90 degrees
(b) Less than 90 degrees
(c) More than 90 degrees
(d) It cannot be determined

Answer: (b) Less than 90 degrees

Q2. The obtuse angle formed at the top-right corner measures:
(a) 90 degrees
(b) Less than 90 degrees
(c) More than 90 degrees
(d) It cannot be determined

Answer: (c) More than 90 degrees

Q3. The right angle formed at the bottom-left corner measures:
(a) 90 degrees
(b) Less than 90 degrees
(c) More than 90 degrees
(d) It cannot be determined

Answer: (a) 90 degrees

Q4. The straight angle formed at the bottom-right corner measures:
(a) 90 degrees
(b) Less than 90 degrees
(c) More than 90 degrees
(d) It cannot be determined

Answer: (d) It cannot be determined

Q5. The sum of all the angles formed by the intersecting lines is:
(a) 90 degrees
(b) 180 degrees
(c) 270 degrees
(d) 360 degrees

Answer: (b) 180 degrees

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