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By Karan Singh Bisht
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Updated on 2 Sep 2025, 12:11 IST
Find Class 9 Maths Chapter 6 Lines and Angles multiple-choice questions (MCQs) here with the right answers. These lines and angles MCQs are made for Class 9 students following the latest exam style. Students can use these questions to practice and improve their problem-solving abilities. All the questions are based on the current CBSE (2025-2026) and NCERT guidelines. Working on these section-wise problems can help students get better grades. Also, explore the essential lines and angles class 9 extra questions.
Here are some multiple-choice questions (MCQs) for Chapter 6, “Lines and Angles,” from the 9th Standard textbook. Each question has four possible answers, and one of them is correct. Compare your answers with the ones given here.
Q. Which of the following angles is acute?
A) 90°
B) 45°
C) 180°
D) 270°
Solution: B) 45°
Q. If two lines intersect at a point, how many angles are formed?
A) 1
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B) 2
C) 3
D) 4
Solution: D) 4
Q. The sum of complementary angles is:
A) 90°
B) 180°
C) 45°
D) 270°
Solution: A) 90°
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Q. Which type of angles are equal in measure?
A) Supplementary angles
B) Complementary angles
C) Vertical angles
D) Adjacent angles
Solution: C) Vertical angles
Also Check: CBSE Worksheets for Class 9 English
Q. If two angles are complementary, then the sum of their measures is:
A) 45°
B) 90°
C) 180°
D) 360°
Solution: B) 90°
Q. Which of the following pairs of angles are supplementary?
A) 30° and 150°
B) 45° and 45°
C) 60° and 30°
D) 90° and 90°
Solution: A) 30° and 150°
Q. A straight angle measures:
A) 90°
B) 180°
C) 360°
D) 45°
Solution: B) 180°
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Q. If two parallel lines are cut by a transversal, the alternate angles are:
A) Supplementary
B) Complementary
C) Equal
D) Vertical
Solution: C) Equal
Q. Adjacent angles are always:
A) Supplementary
B) Complementary
C) Equal
D) None of these
Solution: A) Supplementary
Also Check: CBSE Worksheets for Class 9 Maths
Q. The angles that share a common vertex and a common side are called:
A) Supplementary angles
B) Complementary angles
C) Adjacent angles
D) Vertical angles
Solution: C) Adjacent angles
Q. The measure of an angle which is one-fourth of its complement is:
A) 22.5°
B) 45°
C) 30°
D) 60°
Solution: A) 22.5°
Q. Two angles whose sum is 180° are called:
A) Complementary angles
B) Supplementary angles
C) Adjacent angles
D) Vertical angles
Solution: B) Supplementary angles
Q. If two lines are cut by a transversal such that alternate interior angles are equal, then the lines are:
A) Parallel
B) Perpendicular
C) Intersecting
D) None of these
Solution: A) Parallel
Q. A ray that divides an angle into two congruent angles is called:
A) Perpendicular
B) Bisector
C) Transversal
D) Vertex
Solution: B) Bisector
Q. If two angles are equal and each is 90°, then they are:
A) Supplementary
B) Complementary
C) Equal
D) None of these
Solution: D) None of these
Q. If two adjacent angles are supplementary, then they form a:
A) Linear pair
B) Right angle pair
C) Parallel lines
D) Perpendicular lines
Solution: A) Linear pair
Q. The sum of angles around a point is:
A) 90°
B) 180°
C) 270°
D) 360°
Solution: D) 360°
Q. Two adjacent angles whose non-common sides are opposite rays form a:
A) Linear pair
B) Right angle
C) Vertical angles
D) Perpendicular lines
Solution: C) Vertical angles
Q. The angles that are opposite to each other when two lines intersect are called:
A) Supplementary angles
B) Complementary angles
C) Vertical angles
D) Adjacent angles
Solution: C) Vertical angles
Q. The sum of angles of a quadrilateral is:
A) 90°
B) 180°
C) 270°
D) 360°
Solution: D) 360°
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Focus on linear pair, vertically opposite angles, corresponding/alternate/interior angles with a transversal, and angle sum of a triangle. Most MCQs test quick identification of these relationships.
Draw/visualize the transversal: corresponding angles sit in the “same corner,” alternate interior angles sit “Z-shaped” inside the lines. If lines are parallel, both pairs are equal.
Mark known equal/linear-pair angles first, then form a simple equation (often x + constant = angle or 180°). Substitute and verify using a second relation to avoid traps.
No, know the results (equal/ supplementary relations) and when they apply (parallel lines, straight line, vertically opposite). MCQs reward recognition more than full proofs.
Always check whether lines are parallel before declaring angles equal, and confirm if it’s a linear pair or vertically opposite case. Re-read diagrams for hidden transversals or overlapping lines.