From the diagram provided, we observe that the point from Allentown to the intersection by the right can be labellled line segment AC.
From point C to Dawson is 8 miles. Similarly from point C to Bakersville is 8 miles. However, at point C, the turning to Dawson would be 120 degrees (that is 180 - 60 = 120) Angles on a straight line equals 180.
Also, the turning at point C to Bakersville would be 145 degrees (that is 180 - 35 = 145).
Observe that we can now derive two separate triangles which would be sketched below;
Observe carefully that in triangle ABC (which represents the distance between Allentown and Bakersville), the angle between A and B at point C is 145 degrees which is wider than that between A and D in the other triangle.
This shows that the length AB is longer than the length AD.
ANSWER:
Dawson is located closer to Allentown.
