Lines and Angles — Class 6 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Lines and Angles" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Lines and Angles" — 8 important questions with detailed answers for CBSE board exam…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

What is the difference between a line, a ray, and a line segment?
How many angles are formed when two lines intersect?
What type of angle is 90°? Name two other types of angles.
Draw and label a line segment PQ. How many points lie on segment PQ?
If two angles are complementary, and one angle is 35°, what is the other angle?
What is a reflex angle? Give an example measure.
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
What is the difference between a line, a ray, and a line …	✓ Solved
How many angles are formed when two lines intersect?	✓ Solved
What type of angle is 90°? Name two other types of angles.	✓ Solved
Draw and label a line segment PQ. How many points lie on …	✓ Solved
If two angles are complementary, and one angle is 35°, wh…	✓ Solved
What is a reflex angle? Give an example measure.	✓ Solved

Showing 6 of 8 questions

Q1: What is the difference between a line, a ray, and a line segment?

Step 1: Understand each term A line segment: has two endpoints and is finite (limited length) Example: AB with points A and B as endpoints Step 2: A ray: has one endpoint and extends infinitely in one direction Example: Ray AB starts at A and goes through B and continues forever Step 3: A line: has no endpoints and extends infinitely in both directions Example: Line AB extends forever in both directions past A and past B Answer: A line segment has 2 endpoints and fixed length. A ray has 1 endpoi...

Q2: How many angles are formed when two lines intersect?

When two lines intersect (cross each other), they create angles at the intersection point. Step 1: Visualize two lines crossing Step 2: Count all angles formed at the point where they cross There are 4 angles formed Step 3: These 4 angles consist of: - 2 pairs of opposite angles (called vertically opposite angles) - Adjacent angles that add up to 180° Answer: 4 angles are formed. These include 2 pairs of equal opposite angles.

Q3: What type of angle is 90°? Name two other types of angles.

Step 1: Identify the angle type for 90° 90° is called a right angle Step 2: Name other angle types An acute angle is less than 90° (between 0° and 90°) Example: 45°, 60°, 75° Step 3: Another type An obtuse angle is between 90° and 180° Example: 120°, 135°, 150° Answer: 90° is a right angle. Two other types are: acute angle (less than 90°) and obtuse angle (between 90° and 180°)

Q4: Draw and label a line segment PQ. How many points lie on segment PQ?

Step 1: A line segment PQ has two endpoints P and Q Step 2: Between P and Q, there are infinitely many points Step 3: In addition to the endpoints, any point you mark on the segment between P and Q is considered to lie on PQ Example: If we mark point R between P and Q, then R lies on PQ Answer: A line segment has infinitely many points (including the two endpoints). Every point on the segment lies on PQ.

Q5: If two angles are complementary, and one angle is 35°, what is the other angle?

Two complementary angles are two angles whose sum is 90°. Step 1: Set up the equation Angle 1 + Angle 2 = 90° Step 2: Substitute the known angle 35° + Angle 2 = 90° Step 3: Solve for the unknown angle Angle 2 = 90° - 35° Angle 2 = 55° Step 4: Verify: 35° + 55° = 90° ✓ Answer: The other angle is 55°

Q6: What is a reflex angle? Give an example measure.

Step 1: Define a reflex angle A reflex angle is an angle that is greater than 180° but less than 360° Step 2: Compare with other angles Acute angle: less than 90° Right angle: equals 90° Obtuse angle: between 90° and 180° Reflex angle: between 180° and 360° Step 3: Give examples of reflex angles 200°, 270°, 315°, 350° Answer: A reflex angle is an angle greater than 180° and less than 360°. Example: 270° or 225°

Showing 6 of 8 questions. Visit the full page for complete solutions.