NCERT Solutions | Class 9 Maths Chapter 6 Lines and Angles

NCERT Solutions, Class 9 Maths Chapter 6 Lines and Angles: Exercise 6.1, answered for the NCERT Class 9 textbook.

Exercise 6.1 Class 9 Maths Chapter 6 Lines and Angles

1. In Fig. 6.13, lines AB and CD intersect at O. If ∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find ∠BOE and reflex ∠ COE.

2. In Fig. 6.14, lines XY and MN intersect at O. If ∠ POY = 90° and a : b = 2 : 3, find c.

3. In Fig. 6.15, ∠ PQR = ∠ PRQ, then prove that ∠ PQS = ∠ PRT.

4. In Fig. 6.16, if x + y = w + z, then prove that AOB is a line.

5. In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ ROS = 1/2(∠ QOS – ∠ POS).

6. It is given that ∠ XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ ZYP, find ∠ XYQ and reflex ∠ QYP.