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SparkEd Math offers 60+ practice questions for Parallel & Intersecting Lines across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

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SparkEd Math uses visual step-by-step solutions for every Parallel & Intersecting Lines problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Parallel & Intersecting Lines content aligned with the CBSE syllabus?

Yes, all Parallel & Intersecting Lines questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Parallel & Intersecting Lines — Class 7 CBSE (2025-26)

About Parallel & Intersecting Lines — Class 7 CBSE

Identify and explore properties of parallel and intersecting lines and angles. This topic is part of the CBSE Class 7 mathematics syllabus (chapter: Chapter 5). On this page you can practice 59 questions across three difficulty levels — 19 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Parallel & Intersecting Lines

Introduction to Lines: Intersecting and Parallel
Angles Formed by Intersecting Lines
Transversals and Angles with Parallel Lines
Properties of Parallel Lines & Checking Parallelism
Summary, Connections, and NCERT Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Parallel & Intersecting Lines — solved examples for Class 7 CBSE

Example 1easy

Which of the following statements correctly describes parallel lines?

A)Lines that meet at a single point.
B)Lines that never meet, no matter how far they are extended.
C)Lines that form a right angle when they intersect.
D)Lines that always have different lengths.

Step-by-step solution

Parallel lines are defined as two lines in a plane that are always the same distance apart and never intersect.
Options A and C describe intersecting lines. Option D is irrelevant as lines are infinite in length.

Answer: Lines that never meet, no matter how far they are extended.

Example 2medium

Two angles are said to be complementary if their sum is ____.

A)180°
B)90°
C)360°
D)0°

Step-by-step solution

By definition, two angles are complementary if their sum is 90°.
For example, 30° and 60° are complementary angles because 30° + 60° = 90°.

Answer: 90°

Example 3hard

If two lines intersect such that one pair of vertically opposite angles are also supplementary, what can be concluded about the angles formed by the intersection?

A)All four angles are acute.
B)All four angles are obtuse.
C)All four angles are right angles.
D)Two angles are acute, and two are obtuse.

Step-by-step solution

Let the two vertically opposite angles be ∠A and ∠C. By definition, ∠A = ∠C.
If they are also supplementary, then ∠A + ∠C = 180°.
Substituting ∠A = ∠C into the supplementary equation, we get ∠A + ∠A = 180°, so 2∠A = 180°, which means ∠A = 90°.
Since ∠A = 90° and ∠A = ∠C, then ∠C = 90°. The adjacent angles (linear pair) to ∠A must also be 90° (180° - 90° = 90°). Therefore, all four angles formed are right angles (90°).

Answer: All four angles are right angles.

Practice questions on Parallel & Intersecting Lines

Q1.easy
Angles X and Y form a linear pair. If ∠X = 60°, what is the measure of ∠Y?
1. A)120°
2. B)60°
3. C)90°
4. D)180°
Show answer
Answer: 120°
Hint: Remember the sum of angles that form a linear pair. What does 'linear pair' imply about their combined measure?
Q2.easy
Lines 'p' and 'q' are parallel. A third line 't' intersects both 'p' and 'q'. Which term best describes line 't'?
1. A)An intersecting line
2. B)A parallel line
3. C)A perpendicular line
4. D)A transversal
Show answer
Answer: A transversal
Hint: Think about the special name given to a line that intersects two or more other lines at distinct points.
Q3.easy
Consider two parallel lines 'm' and 'n' cut by a transversal 'k'. Angles are formed as follows: ∠1, ∠2, ∠3, ∠4 (above line m) and ∠5, ∠6, ∠7, ∠8 (above line n, in corresponding positions). Which pair of angles are corresponding angles?
1. A)∠1 and ∠8
2. B)∠2 and ∠6
3. C)∠3 and ∠5
4. D)∠4 and ∠7
Show answer
Answer: ∠2 and ∠6
Hint: Corresponding angles are in the same relative position at each intersection where a transversal crosses two lines.
Q4.medium
If two angles form a linear pair and one angle measures 75°, what is the measure of the other angle?
1. A)105°
2. B)15°
3. C)90°
4. D)180°
Show answer
Answer: 105°
Hint: A linear pair always adds up to a specific sum.
Q5.medium
Two lines, AB and CD, intersect at point O. If ∠AOC = 40°, what is the measure of ∠BOD?
1. A)50°
2. B)140°
3. C)40°
4. D)90°
Show answer
Answer: 40°
Hint: Look for angles that are directly opposite each other when two lines intersect.
Q6.medium
When a transversal intersects two lines, what is the name given to the pair of angles that are on opposite sides of the transversal and between the two lines?
1. A)Corresponding angles
2. B)Interior angles on the same side
3. C)Vertically opposite angles
4. D)Alternate interior angles
Show answer
Answer: Alternate interior angles
Hint: Consider their positions relative to the transversal and the two lines. Are they 'inside' or 'outside' and on which 'side' of the transversal?
Q7.hard
Two supplementary angles are such that the larger angle is 30° more than four times the smaller angle. What is the measure of the smaller angle?
1. A)20°
2. B)30°
3. C)40°
4. D)50°
Show answer
Answer: 30°
Hint: Let the smaller angle be 'x'. Express the larger angle in terms of 'x' using the given condition, then use the property of supplementary angles.
Q8.hard
Lines PQ and RS intersect at point O. If ∠POR = (3x - 5)° and ∠QOS = (2x + 15)°, and ∠POS = y°, find the value of x + y.
1. A)135°
2. B)145°
3. C)150°
4. D)160°
Show answer
Answer: 145°
Hint: Identify the relationship between ∠POR and ∠QOS, and then the relationship between ∠POR and ∠POS. Use these to find x and y separately.
Q9.hard
Two parallel lines are intersected by a transversal. The ratio of the measures of two consecutive interior angles is 7:8. Find the difference between these two angles.
1. A)12°
2. B)15°
3. C)18°
4. D)24°
Show answer
Answer: 12°
Hint: Remember the property of consecutive interior (co-interior) angles when lines are parallel. Use the given ratio to find the individual angles.

These are 9 of the 59 questions available for Parallel & Intersecting Lines. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.