Class 9 Maths Ch-6 Lines and Angles

NCERT Solutions of Class 9 Maths Ch-6 Lines and Angles

Exercise 6.1

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

Thank you for reading this post, don't forget to subscribe!

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

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

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

Question 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 = \(\frac{1}{2}\) (∠ QOS – ∠ POS).

Question 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.