Question

In the given figure, ∠ 1 = 55° , ∠ 2 = 20° , ∠ 3 = 35° , ∠ 4 =145°.

Prove that AB ||CD.​

Answer 1

Answer:

Angle 1 =55

Angle 2 =20

Angle 3 =35

Angle 4 =145

To prove ABllCD

Solve angle 2 + angle 3

So angle1=angle2+angle3

Angle ABM=angleBMn(alt.angle)

ABllMN

Now

Angle3+angle4

=angle 35+ angle 145=180

Then MNllCD

From i and ii we have

ABllCD

Hence Proved

Hope it helps!