Question

In the given figure angle 1=55°, angle 2=20°, angle 3 =35°, angle4=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

Step-by-step explanation:

Answer 2

Step-by-step explanation:

1 = 55°

2+3=20+35=55°

Therefore, AB||MN (Alternate Angles are equal)----(i)

Now, 3+4= 180° (Alternate angles are supplementary)

Therefore, CD||MN-----(ii)

Now from (i) and (ii), we get

AB||CD--- Hence,Proved