How many practice questions are available for Lines & Angles?

SparkEd Math offers 60+ practice questions for Lines & Angles 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.

Is Lines & Angles content free on SparkEd Math?

Yes! All Lines & Angles content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Lines & Angles differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Lines & Angles 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 Lines & Angles content aligned with the ICSE syllabus?

Yes, all Lines & Angles questions and lessons on SparkEd Math are fully aligned with the Indian Certificate of Secondary Education (ICSE) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Lines & Angles — Class 7 ICSE (2025-26)

About Lines & Angles — Class 7 ICSE

Study pairs of angles, parallel lines with a transversal, and angle sum properties. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 8). On this page you can practice 60 questions across three difficulty levels — 20 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 Lines & Angles

Introduction to Lines and Basic Angle Pairs
Complementary and Supplementary Angles
Parallel Lines and Transversals: Corresponding & Alternate Angles
Parallel Lines and Transversals: Interior Angles & Angle Sum Property
Comprehensive Problem Solving and Exam Preparation

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

Lines & Angles — solved examples for Class 7 ICSE

Example 1easy

Which of the following statements about lines, rays, and line segments is TRUE?

A)A line segment has a definite length but no endpoints.
B)A ray has two endpoints and extends indefinitely in one direction.
C)A line has a definite length and two endpoints.
D)A ray has one endpoint and extends indefinitely in one direction.

Step-by-step solution

A line segment has a definite length and two endpoints. So, option A is false.
A ray has one endpoint and extends indefinitely in one direction. So, option B is false.
A line has no definite length and no endpoints, extending indefinitely in both directions. So, option C is false.
The definition of a ray states it has one endpoint and extends infinitely in one direction. So, option D is true.

Answer: A ray has one endpoint and extends indefinitely in one direction.

Example 2medium

An angle measures 25° more than its complement. What is the measure of the angle?

A)57.5°
B)32.5°
C)67.5°
D)72.5°

Step-by-step solution

Let the angle be 'x'.
Its complement will be 90° - x.
According to the problem, x = (90° - x) + 25°.
Solving for x: x = 90° - x + 25° => 2x = 115° => x = 115° / 2 = 57.5°.

Answer: 57.5°

Example 3hard

An angle's supplement is three times its complement. What is the measure of this angle?

A)30°
B)45°
C)60°
D)90°

Step-by-step solution

Let the angle be x. Its complement is (90° - x) and its supplement is (180° - x).
According to the problem, the supplement is three times its complement:
$180° - x = 3 × (90° - x)$
Solve the equation: 180° - x = 270° - 3x => 3x - x = 270° - 180° => 2x = 90° => x = 45°.

Answer: 45°

Practice questions on Lines & Angles

Q1.easy
Rohan was asked to find the complement of an angle measuring 65°. He calculated it as 180° - 65° = 115°. Which statement correctly identifies Rohan's mistake?
1. A)Rohan made a calculation error; 180° - 65° is not 115°.
2. B)Rohan should have subtracted 65° from 360° instead of 180°.
3. C)Rohan confused complementary angles with supplementary angles.
4. D)Rohan should have added 65° to 90° instead of subtracting.
Show answer
Answer: Rohan confused complementary angles with supplementary angles.
Hint: Remember the specific sum that defines complementary angles versus supplementary angles.
Q2.easy
Consider an angle that measures 200°. Which type of angle is it?
1. A)Acute angle
2. B)Reflex angle
3. C)Obtuse angle
4. D)Straight angle
Show answer
Answer: Reflex angle
Hint: Recall the definitions for different types of angles based on their measure relative to 0°, 90°, 180°, and 360°.
Q3.easy
If two angles are supplementary and one angle is 30° less than twice the other, what is the measure of the larger angle?
1. A)130°
2. B)50°
3. C)70°
4. D)110°
Show answer
Answer: 130°
Hint: Set up an equation using the definition of supplementary angles. Let one angle be 'x' and express the other angle in terms of 'x'.
Q4.medium
If two lines intersect, and one of the angles formed is 70°, what is the measure of its vertically opposite angle?
1. A)20°
2. B)110°
3. C)70°
4. D)180°
Show answer
Answer: 70°
Hint: Recall the property of vertically opposite angles formed when two lines intersect.
Q5.medium
Two angles form a linear pair. If one angle is 40°, what is the measure of the other angle?
1. A)50°
2. B)140°
3. C)90°
4. D)180°
Show answer
Answer: 140°
Hint: Angles in a linear pair are adjacent and supplementary. What does 'supplementary' mean for their sum?
Q6.medium
When a transversal intersects two parallel lines, which of the following statements is TRUE?
1. A)Co-interior angles are equal.
2. B)Alternate exterior angles are supplementary.
3. C)Corresponding angles are equal.
4. D)Vertically opposite angles are supplementary.
Show answer
Answer: Corresponding angles are equal.
Hint: Consider the specific relationships between different pairs of angles formed by a transversal intersecting parallel lines.
Q7.hard
Two lines AB and CD intersect at a point O. If ∠AOC = (3x - 10)° and ∠BOD = (2x + 20)°, and OX is the bisector of ∠AOD, what is the measure of ∠XOC?
1. A)70°
2. B)100°
3. C)130°
4. D)150°
Show answer
Answer: 130°
Hint: First, find the value of 'x' using vertically opposite angles. Then, use the linear pair property to find ∠AOD, and finally the angle bisector definition to find ∠AOX and then ∠XOC.
Q8.hard
In a figure, line p is parallel to line q (p || q). A transversal r intersects them such that the measures of two alternate exterior angles are (3x - 15)° and (2x + 30)°. Find the measure of the angle corresponding to (3x - 15)°.
1. A)45°
2. B)90°
3. C)105°
4. D)120°
Show answer
Answer: 120°
Hint: Equate the alternate exterior angles to find 'x'. Remember that corresponding angles are equal to alternate exterior angles when lines are parallel.
Q9.hard
If two parallel lines are intersected by a transversal, and the bisectors of two interior angles on the same side of the transversal meet at a point P, what is the measure of the angle formed by these bisectors at P?
1. A)90°
2. B)60°
3. C)120°
4. D)Depends on the angles
Show answer
Answer: 90°
Hint: Let the two interior angles be 'a' and 'b'. What is their sum? How does bisecting them affect the sum of the new angles in the triangle formed by the bisectors and the transversal?

These are 9 of the 60 questions available for Lines & Angles. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.