Question

In the given figure,'l' and 'm' are two coplanar lines intersected by a transversal 'n'.
if angle A =angle B,then is l||m? state reason.​

Answer 1

Answer:

If l||m then,

Angle A = Angle B

( by alternate exterior angles)

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}∠PQA=100

∘

\angle PQA+\angle AQR = 180^{\circ}∠PQA+∠AQR=180

∘

(Linear pair)

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

∘

+∠AQR=180

∘

\angle AQR = 80^{\circ}∠AQR=80

∘

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