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A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. In trapezoid EFGH, EF ? HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°

Respuesta :

its 72 . i just took the test .

Answer:

72 degrees

Step-by-step explanation:

Given:

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets

Consider the two parallel streets as a parallel line and Pine avenue as transversal.

GIven that in trapezoid, EFGH, EF parallel to GH

Byparallel lines property corresponding angles would be equal, interior angles add to 180 and alternate angles equal.

Using this we find that the required angle is 72 degrees.

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