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city planners want to design a park between parallel streets, main stre…

Question

city planners want to design a park between parallel streets, main street and willow lane, in the shape of a trapezoid. there are two paths of equal length on the east and west sides of the park. the border of the park makes a 60° angle between willow lane and the east path. what is the angle between main street and the west path? 30 60 120 360

Explanation:

Step1: Recall properties of parallel lines

When two parallel lines (Main Street and Willow Lane) are intersected by a transversal (the paths), and we know the angle between Willow Lane and the east - path is 60°.

Step2: Use the property of corresponding angles

The east and west paths are equal - length, and the figure is symmetric. The angle between Main Street and the west path is equal to the angle between Willow Lane and the east path.

Answer:

60