Geometry Practice Questions for Class IX: Angles and Parallel Lines, Exercises of Mathematics

Extra questions for class ix students (2025-26) focusing on geometry, specifically angle relationships and parallel lines. It includes multiple-choice questions (mcqs), assertion-reason questions, short/long answer type questions, integrated questions combining physics and civics with math, and case study-based questions. The questions cover topics such as complementary angles, angles formed by parallel lines and transversals, angle bisectors, and applications of geometric principles in real-world scenarios. This resource is designed to enhance students' problem-solving skills and understanding of geometric concepts. A variety of question types to test different aspects of geometric knowledge, from basic definitions to more complex problem-solving scenarios. It is suitable for students preparing for exams or seeking to reinforce their understanding of geometry.

Typology: Exercises

2024/2025

Available from 08/05/2025

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KHADIJATUL KUBRA GIRLS PUBLIC SCHOOL
CLASS IX (2025-26)
EXTRA QUESTIONS
MCQs
1. If two complementary angles are in the ratio 13 : 5, then the angles are:
a) 13x°, 5x° b) 25°, 65° c) 65°, 25° d) 65°, 35°
2. If AB = x + 3, BC = 2x and AC = 4x 5, then for what value of ‘x’, B lies on AC?
a) 2 b) 3 c) 5 d) 8
3.In the given figure, AB || CD then value of x is:
a) 45° b) 60°
c) 90° d)105°
4. In the given figure, if AOB is a line then the measure of BOC, COD and DOA respectively are:
a) 36°, 54°, 90° b) 36°, 90°, 54° c) 90°, 36°, 54° d) 90°, 54°, 3
5. If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles
can be
a) 50° b) 65° c) 145° d) 155°
6. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 :
3, then the greater of the two angles is:
a) 54° b) 108° c) 120° d) 136°
Directions: In the following questions, a statement of assertion (A) is followed by a statement of
reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion.
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KHADIJATUL KUBRA GIRLS PUBLIC SCHOOL

CLASS IX (2025-26)

EXTRA QUESTIONS

MCQs

  1. If two complementary angles are in the ratio 13 : 5, then the angles are: a) 13x°, 5x° b) 25°, 65° c) 65°, 25° d) 65°, 35°
  2. If AB = x + 3, BC = 2x and AC = 4x – 5, then for what value of ‘x’, B lies on AC? a) 2 b) 3 c) 5 d) 8 3.In the given figure, AB || CD then value of x is: a) 45° b) 60° c) 90° d)105°
  3. In the given figure, if AOB is a line then the measure of ∠ BOC, ∠ COD and ∠ DOA respectively are: a) 36°, 54°, 90° b) 36°, 90°, 54° c) 90°, 36°, 54° d) 90°, 54°, 36°
  4. If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be a) 50° b) 65° c) 145° d) 155°
  5. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is: a) 54° b) 108° c) 120° d) 136° Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion.

(C) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. 10 .Assertion : An angle is 14º more than its complementary angle, then angle is 52º. Reason: Two angles are said to be supplementary if their sum of measure of angles is 180° Short/Long Answer Type Questions:.

  1. Determine the value of x in the given figure if ABIICD.
  2. Find x, if ABIICDIIEF.
  3. In the given figure l ll m. Show that angle ∠ 1 +∠ 2 - ∠ 3=180°.
  4. Can a triangle have all angles less than 60°? Give a reason for your answer.
  5. In the given figure, p∥ q and r∥ s. Find the values of x,y and z INTEGRATED QUESTIONS : PHYSICS+MATH