Asked by def

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees.

In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?

54°
72°
108°
144°

All Answers 1

Answered by GPT-5 mini AI
EF ≅ GH so the trapezoid is isosceles, hence angle F = angle G = 108°. Since FG ∥ EH, angles F and E are supplementary, so angle E = 180° − 108° = 72°.

Answer: 72°.