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They would 'intersect'. ('cross', have one point in common)
A parallelogram has both pairs of sides parallel, whereas the trapezium has only one pair of sides parallel. For this to happen, the parallel sides have to be of different lengths.
A transversal is a line that intersects two or more other lines. If the corresponding angles are congruent then the two lines being intersected are parallel and vice verso.
draw the circut diagram of the MOD60 asynchronous binary counter
You would get a set of angles whose interrelationships would be more complex.