ANNUAL EXAM PYQS · CHAPTER 06

Lines and Angles
CBSE Most Repeated PYQs

Solve official Class 9 Annual Examination Questions for Lines and Angles. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.

Q1Annual Exam 2024MCQ

1 Mark

If two lines intersect each other, then vertically opposite angles are:

Q2Annual Exam 2023MCQ

1 Mark

An angle which is greater than 180° but less than 360° is called:

Q3CBSE Pattern PYQMCQ

1 Mark

Complement of angle 35° is:

Q4Annual Exam 2022MCQ

1 Mark

Supplement of angle 70° is:

Q5CBSE Model PYQAssertion-Reason

1 Mark

Assertion (A): Sum of angles on a straight line is 180°. Reason (R): A linear pair of angles are supplementary.

Q6Annual Exam 2021Assertion-Reason

1 Mark

Assertion (A): If two parallel lines are cut by a transversal, alternate interior angles are equal. Reason (R): Corresponding angles are equal when parallel lines are cut by transversal.

Q7Annual Exam 2024Short Answer

2 Marks

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

Q8Annual Exam 2023Short Answer

2 Marks

In figure, ∠PQR = ∠PRQ. Prove that ∠PQS = ∠PRT.

Q9CBSE Pattern PYQShort Answer

2 Marks

If x + y = w + z, prove that AOB is a line.

Q10Annual Exam 2022Short Answer

2 Marks

In figure, AB || CD, ∠APQ = 50° and ∠PRD = 127°. Find x and y.

Q11CBSE Model PYQShort Answer

2 Marks

Angles of a triangle are in ratio 2 : 3 : 4. Find all three angles.

Q12Annual Exam 2021Long Answer

3 Marks

Prove that sum of three interior angles of a triangle is 180°.

Q13Annual Exam 2024Long Answer

3 Marks

In △ABC, sides AB and AC are produced to P and Q. Bisectors of ∠PBC and ∠QCB meet at O. Prove ∠BOC = 90° - 1/2 ∠A.

Q14Annual Exam 2023Long Answer

3 Marks

In figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find x and y.

Q15CBSE Pattern PYQLong Answer

3 Marks

In figure, sides AB and AC of △ABC are produced to E and D. If bisectors BO and CO of ∠CBE and ∠BCD meet at O, find ∠BOC.

Q16Annual Exam 2022Case Study

4 Marks

Case Study Scenario: Two mirror strips PQ and RS are placed parallel to each other. An incident ray AB strikes PQ at B, reflects along BC and strikes RS at C, reflecting back along CD. Question: Prove that AB || CD.

Q17CBSE Model PYQCase Study

4 Marks

Case Study Scenario: A roof truss has AB || CD. Transversal line EF intersects AB at G and CD at H. Given ∠AGH = 3x + 15° and ∠GHD = 2x + 45°. Question: Find value of x and measure of ∠AGH.

Q18Annual Exam PYQPYQ

5 Marks

In figure, AB || CD and CD || EF. Also EA ⊥ AB. If ∠BEF = 55°, find x, y and z.

Q19Annual Exam PYQPYQ

5 Marks

In △ABC, ∠A - ∠B = 15° and ∠B - ∠C = 30°. Find all three angles.

Q20Annual Exam PYQPYQ

5 Marks

Lines and Angles CBSE Most Repeated PYQs

If two lines intersect each other, then vertically opposite angles are:

An angle which is greater than 180° but less than 360° is called:

Complement of angle 35° is:

Supplement of angle 70° is:

Assertion (A): Sum of angles on a straight line is 180°. Reason (R): A linear pair of angles are supplementary.

Assertion (A): If two parallel lines are cut by a transversal, alternate interior angles are equal. Reason (R): Corresponding angles are equal when parallel lines are cut by transversal.

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

In figure, ∠PQR = ∠PRQ. Prove that ∠PQS = ∠PRT.

If x + y = w + z, prove that AOB is a line.

In figure, AB || CD, ∠APQ = 50° and ∠PRD = 127°. Find x and y.

Angles of a triangle are in ratio 2 : 3 : 4. Find all three angles.

Prove that sum of three interior angles of a triangle is 180°.

In △ABC, sides AB and AC are produced to P and Q. Bisectors of ∠PBC and ∠QCB meet at O. Prove ∠BOC = 90° - 1/2 ∠A.

In figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find x and y.

In figure, sides AB and AC of △ABC are produced to E and D. If bisectors BO and CO of ∠CBE and ∠BCD meet at O, find ∠BOC.

Case Study Scenario: Two mirror strips PQ and RS are placed parallel to each other. An incident ray AB strikes PQ at B, reflects along BC and strikes RS at C, reflecting back along CD. Question: Prove that AB || CD.

Case Study Scenario: A roof truss has AB || CD. Transversal line EF intersects AB at G and CD at H. Given ∠AGH = 3x + 15° and ∠GHD = 2x + 45°. Question: Find value of x and measure of ∠AGH.

In figure, AB || CD and CD || EF. Also EA ⊥ AB. If ∠BEF = 55°, find x, y and z.

In △ABC, ∠A - ∠B = 15° and ∠B - ∠C = 30°. Find all three angles.

Side BC of △ABC is produced to D. Angle bisector of ∠A and line perpendicular to BC at E meet. Prove ∠AEB = 1/2 (∠B - ∠C).

Lines and Angles
CBSE Most Repeated PYQs