θ θ θ co-int. =180° Corresponding: equal Alt. interior: equal Co-interior: 180° Vert. opp.: equal ext∠=α+β
∠
Chapter 6  ·  Class IX Mathematics  ·  MCQ Practice

MCQ Practice Arena

Lines and Angles

Parallel Lines, Transversals and Angle Pairs — Spot the Relationship in Seconds

📋 50 MCQs ⭐ 26 PYQs ⏱ 65 sec/Q
🚀 Start Practising 📖 Revise Notes First

MCQ Bank Snapshot

50Total MCQs
20Easy
22Medium
8Hard
26PYQs
65 secAvg Time/Q
8Topics
Easy 40% Medium 44% Hard 16%

Why Practise These MCQs?

CBSE Class IXNTSEState BoardsOlympiad

Lines and Angles MCQs are heavily theorem-based — identifying angle relationships (corresponding, alternate, co-interior) in parallel line diagrams is the core skill. CBSE Boards award 1–2 MCQs here every year; NTSE Stage I includes elegant multi-angle reasoning problems. Angle-sum property of a triangle (180°) and exterior angle theorem are also tested. This chapter rewards diagram-reading speed.

Topic-wise MCQ Breakdown

Types of Angles (Acute, Obtuse, Reflex…)4 Q
Complementary & Supplementary Angles6 Q
Linear Pair & Vertically Opposite Angles8 Q
Parallel Lines & Transversal12 Q
Corresponding & Alternate Angles8 Q
Co-interior (Same-side Interior) Angles5 Q
Angle Sum Property of Triangle4 Q
Exterior Angle Theorem3 Q

Must-Know Formulae Before You Start

Recall these cold before attempting MCQs — they appear in >70% of questions.

$\text{Corresponding angles: equal (parallel lines)}$
$\text{Alternate interior angles: equal (parallel lines)}$
$\text{Co-interior angles: supplementary (sum = 180°)}$
$\text{Vertically opposite angles: equal}$
$\text{Linear pair: sum = 180°}$
$\angle A + \angle B + \angle C = 180°\ (\text{triangle})$
$\text{Exterior angle} = \text{sum of two non-adjacent interior angles}$

MCQ Solving Strategy

For every parallel-line MCQ, identify the transversal first, then name the angle pair (corresponding/alternate/co-interior). Corresponding angles are in the same position at each intersection — they are equal. Alternate interior angles are between the parallel lines on opposite sides — they are equal. Co-interior angles are between the parallel lines on the same side — they sum to 180°. For multi-step angle problems, write equations and solve.

⚠ Common Traps & Errors

Difficulty Ladder

Work through each rung in order — do not jump to Hard before mastering Easy.

① Easy

Identify angle types, apply vertically opposite and linear pair

② Medium

Parallel line angle pairs, find missing angles in diagrams

③ Hard

Multi-step angle chains, prove lines parallel, triangle angle sum with algebra

★ PYQ

CBSE — angle pair identification + numerical; NTSE — multi-angle reasoning

Continue Your Preparation

📖 Chapter Notes Revise concepts & theory 🧠 MCQ Practice Topic-wise Questions 📘✔️ Exercises Step-by-step NCERT solutions ✔️❌ True / False Concept-based True & False ➡ Next Chapter Triangles
🎯 Knowledge Check

Maths — LINES AND ANGLES

50 Questions Class 9 MCQs
1
The sum of the angles on a straight line is:
2
Two lines are said to be parallel if:
3
If two lines intersect, then the vertically opposite angles are:
4
The sum of all angles around a point is:
5
If one angle of a linear pair is 50°, the other angle will be:
6
Angles that add up to 90° are called:
7
Angles that add up to 180° are called:
8
Two lines intersect to form one angle of 40°. The other three angles will be:
9
If two lines are perpendicular, each of the angles formed is:
10
When two lines intersect, how many pairs of vertically opposite angles are formed?
11
If one of the angles formed by two intersecting lines is 70°, the measure of its vertically opposite angle is:
12
If two adjacent angles form a straight line, they are called:
13
If a transversal intersects two parallel lines, then alternate interior angles are:
14
Corresponding angles are equal when:
15
If two lines are cut by a transversal and alternate exterior angles are equal, then:
16
If one of the angles of a triangle is a right angle, then the triangle is:
17
The sum of angles of a triangle is:
18
Two angles are supplementary. If one angle is 125°, the other is:
19
Complement of 38° is:
20
Supplement of 77° is:
21
Two complementary angles differ by 30°. The smaller angle is:
22
If two lines are parallel, the sum of interior angles on the same side of transversal is:
23
How many angles are formed when two lines intersect?
24
The angle which is greater than 90° but less than 180° is:
25
Angles less than 90° are called:
26
Angle greater than 180° but less than 360° is:
27
Which of the following is not a type of angle?
28
If one of the linear pair angles is 70°, then the other is:
29
Vertically opposite angles theorem is used in:
30
If two lines are parallel and a transversal cuts them, then alternate interior angles are:
31
In a pair of supplementary angles, if one is 75°, the other is:
32
If two lines are parallel, corresponding angles are:
33
What is the sum of complementary angles?
34
Two adjacent supplementary angles form:
35
If two lines are cut by a transversal, then the number of angles formed is:
36
Which of the following statements is true?
37
The supplement of an obtuse angle is:
38
If two lines are cut by a transversal such that corresponding angles are equal, then the lines are:
39
The bisector of a right angle divides it into:
40
If one angle is 2x and its supplement is 3x, find x.
41
Angles formed on opposite sides of transversal but inside two lines are:
42
The sum of two vertically opposite angles is:
43
The angle between two perpendicular lines is:
44
If two lines are parallel, which one of the following pairs is not equal?
45
An angle that measures exactly 180° is called:
46
The bisectors of two vertically opposite angles are:
47
Which of these pairs cannot form a linear pair?
48
A transversal cuts two parallel lines at distinct points. How many pairs of corresponding angles are formed?
49
Two supplementary angles are in ratio 2:3. The smaller angle is:
50
The complement of an angle is equal to one-fourth of its supplement. Find the angle.
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Class 9 Maths Lines and Angles 50 MCQs with Answers
Class 9 Maths Lines and Angles 50 MCQs with Answers — Complete Notes & Solutions · academia-aeternum.com
Master your understanding of Lines and Angles with this detailed collection of 50 Multiple Choice Questions (MCQs) based on NCERT Class 9 Mathematics Chapter 6. These objective-type questions are designed according to the latest CBSE 2025 syllabus and exam patterns. Each question is followed by its correct answer and explanation, helping students strengthen conceptual clarity and boost problem-solving speed. Whether you’re preparing for school exams, Olympiads, NTSE, or just revising the NCERT…
🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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    LINES AND ANGLES — Learning Resources

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    ACADEMIA AETERNUM तमसो मा ज्योतिर्गमय · Est. 2025
    Sharing this chapter
    Class 9 Maths Lines and Angles 50 MCQs with Answers
    Class 9 Maths Lines and Angles 50 MCQs with Answers — Complete Notes & Solutions · academia-aeternum.com
    Master your understanding of Lines and Angles with this detailed collection of 50 Multiple Choice Questions (MCQs) based on NCERT Class 9 Mathematics Chapter 6. These objective-type questions are designed according to the latest CBSE 2025 syllabus and exam patterns. Each question is followed by its correct answer and explanation, helping students strengthen conceptual clarity and boost problem-solving speed. Whether you’re preparing for school exams, Olympiads, NTSE, or just revising the NCERT…
    🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
    Share on
    WhatsApp
    Telegram
    X / Twitter
    Facebook
    Instagram
    Threads
    Pinterest
    LinkedIn
    Quora
    Discord
    Reddit
    Email
    academia-aeternum.com/class-9/mathematics/lines-and-angles/mcqs/ Copy link
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    Exam tip: Sharing chapter notes with your study group creates a reinforcement loop. Teaching a concept is the fastest path to mastering it.

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