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03

PRACTICE · CLASS 9 MATHEMATICS (NCERT)

Lines and Angles Practice Questions & PYQs

Practice important exam questions and previous year problems for Class 9 Lines and Angles organized by mark distribution for self-assessment.

01 · 1 MARK PRACTICE QUESTIONS

Short Answer / Objective Questions

1 MARK

Q1. An angle is equal to its complement. Find its measure.

1 MARK

Q2. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, find the larger angle.

02 · 2 MARKS PRACTICE QUESTIONS

Short Proofs & Calculations

2 MARKS

Q3. In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

2 MARKS

Q4. If AB ∥ CD, CD ∥ EF and y : z = 3 : 7, find x.

03 · 3 MARKS PRACTICE QUESTIONS

Intermediate Problem Solving

3 MARKS

Q5. Prove that if two lines intersect each other, then vertically opposite angles are equal.

3 MARKS

Q6. In △PQR, sides QP and RQ are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ.

04 · 5 MARKS PRACTICE QUESTIONS

Long Answer & Complex Proofs

5 MARKS

Q7. Prove that the sum of all interior angles of a triangle is 180°. Using this theorem, if the bisectors of ∠B and ∠C of △ABC intersect at point O, prove that ∠BOC = 90° + 1/2 ∠A.