Question

in the given figure , angle 1=55 degree, angle 2=20 degree,angle 3 =35 degree and angle 4=145 degree. prove that AB parallel to 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

Explanation:

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