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Class 6 Maths Chapter 2 Lines and Angles Practice Paper

Class VI Maths 📄 Practice Paper Ch 2: Lines and Angles NCERT book: Ganita Prakash

⬇ Download PDF Updated 02 Nov 2025

📐 Lines and Angles Class 6 — Practice Paper with Solutions

Practice the most important Lines and Angles Class 6 questions from Ganita Prakash Chapter 2, with step-by-step solutions. Click "Show Solution" under each question to check your working. Prepared free by Unique Study Point, Indore — as per NCERT 2026-27 syllabus.

What This Practice Paper Covers

Points, lines, line segments and rays
Types of angles — acute, right, obtuse, straight, reflex
Measuring angles using a protractor
Complementary and supplementary angles
Angle bisectors and perpendicular lines

📘 QUICK RECAP

📍 A point shows an exact location 📏 A line extends endlessly in both directions 📐 A ray starts at one point and goes on forever in one direction ✂️ A line segment has two fixed endpoints

Angle Type	Measure	Example
Acute	Less than 90°	30°, 60°
Right	Exactly 90°	Corner of a book
Obtuse	Between 90° and 180°	120°, 150°
Straight	Exactly 180°	A straight line
Reflex	Between 180° and 360°	200°, 300°

Practice Questions

Q1. Identify the type of angle: 125°

▶ Show Solution

125°

lies between

90°

and

180°

Answer: Obtuse angle

Q2. Find the complement of 35°.

▶ Show Solution

Complementary angles sum to

90°

90° - 35°

Answer: $55°$

Q3. Find the supplement of 108°.

▶ Show Solution

Supplementary angles sum to

180°

180° - 108°

Answer: $72°$

Q4. Two angles are complementary. One is 3 times the other. Find both angles.

▶ Show Solution

Let the smaller angle be

x

, so the larger is

3x

x + 3x = 90°

4x = 90°

x = 22.5°

Answer: $22.5°$ and $67.5°$

Q5. An angle is twice its supplement. Find the angle.

▶ Show Solution

Let the angle be

x

, so its supplement is

180° - x

x = 2(180° - x)

x = 360° - 2x

3x = 360°

Answer: $x = 120°$

Q6. A ray stands on a line, forming two angles. If one angle is 65°, find the other angle (x).

▶ Show Solution

Angles on a straight line add up to

180°

65° + x = 180°

x = 180° - 65°

Answer: $x = 115°$

Q7. What type of angle do the hands of a clock form at 3 o'clock?

▶ Show Solution

At 3 o'clock, the hour and minute hands are exactly

90°

apart

Answer: Right angle ( $90°$ )

Q8. An angle bisector divides an 80° angle into two equal parts. Find the measure of each part.

▶ Show Solution

80° \div 2

Answer: Each part = $40°$

🎯 EXAM TIP

Complementary = 90°, Supplementary = 180° — students often mix these up. Remember: "C comes before S in the alphabet, and 90 comes before 180."

How to Use This Practice Paper Effectively

Attempt every question on your own first, then click "Show Solution" to check your working step by step. If you get an answer wrong, re-read the step where your method differs — that's usually where the concept needs revision. Also explore: Class 6 Study Material | Class 7 Study Material Download the official NCERT textbook from the NCERT website.

Frequently Asked Questions

Is this practice paper free? Yes, completely free — no login, no signup, instant PDF. Which syllabus does it follow? The new NCERT Ganita Prakash textbook, Chapter 2, for CBSE session 2026-27. Does it have solutions? Yes — every question has a step-by-step solution, click "Show Solution" to reveal it.

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