Question

The opposite sides of a quadrilateral are parallel. If one angle of the quadrilateral is 60°, find the other angles.

Answer 1

The quadrilateral can be drawn as follows:

Here, we have and.

Also,.

Since,.Thus, and are consecutive interior angles.

Thus these two must be supplementary. That is,

Similarly, .Thus,and are consecutive interior angles.

Thus these two must be supplementary. That is,

Similarly,.Thus,and are consecutive interior angles.

Thus these two must be supplementary. That is,

Hence the other angles are as follows: