Explanation
Which type of quadrilateral best describes ABCD?

First, ABCD is a parallelogram. Using vertical angles, it can be seen that ABCD has two pairs of opposite angles congruent, making it a parallelogram.

This problem states that the width of both roads are the same. That width is the perpendicular distance between the two sides of the roads.
roadcrossing3a

The blue right triangles are formed using the road width as one leg. By finding the angles in the blue triangles, it can be seen that all four blue triangles are congruent by AAS. By CPCTC, AB = BC = DC = DA making quadrilateral ABCD a rhombus.

m∠BEC = 90ยบ since the diagonals of a rhombus are perpendicular.

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