Question

ABCD is a quadrilateral in which all angles are equal.show that AB is parallel to CD and AD is parallel to the BC

Answer 1

Answer:

Since ABCD is a quadri.

Its opposite side are parallel

Therefore,AB is parallel to CD

And AD is parallel to BC

Step-by-step explanation:

Answer 2

Answer:

let any angle be x

since all angles are equal

therefore,

x+x+x+x = 360°

4x = 360

x = 90°

now, angle A and angle B are on the same side

since, A+B= 180

If co-interior angles are supplementary then lines are parallel

AD ll BC

similarly,

AB ll CD