Question

Given that angle ABC=65° and angle BCD=105°. Is it possible (consider all cases): that a)Line AB is parallel to line CD. and b) Line AB is parallel to line CD.

Answer 1

No

Explanation:

Since BC is common line section, in order to have AB parallel to CD, angles ABC and BCD must be equal.

As ∠ABC ≠ ∠BCD AB and CD can not be parallel

The answer is no

Answer 2

No

Explanation:

With the given angle measures, the angle between AB and CD is either 10° or 40°. AB and CD cannot be parallel.