Question

In a given figure, ‘l’ and ‘m’ are intersected by a transversal ‘n’. Is l || m?

Answer 1

yes l || m because angle AQR will be 80 by linear pair.
angle CRS=angle QRD=80 (vertically opposite angles)
thus angleAQR=angle QRD
THUS l || m

Answer 2

Answer:

l || m

Step-by-step explanation:

Given : ‘l’ and ‘m’ are intersected by a transversal ‘n’

To Find :Is l || m?

Solution:

$\angle PQA = 100^{\circ}$

$\angle PQA+\angle AQR = 180^{\circ}$ (Linear pair)

$100^{\circ}+\angle AQR = 180^{\circ}$

$\angle AQR = 80^{\circ}$

We are given ∠CRS = 80°

So, ∠CRS = 80° = ∠AQR

∠CRS and ∠AQR are corresponding angles

Since ∠CRS = ∠AQR corresponding angles are equal

So, l||m

Hence l || m