Mr. Brown is a bike rider. He considered living in Allentown, Binghamton, and Chester. In the end, he chose Binghamton because, as he put it, “All else being equal, I chose the town where bikes stand the greatest chance on the roads against cars.” Is Binghamton town A, B, or C? (with work please) A. The area is 15 ha.; 12,560 cars in town.
B. The area is 3 ha.; 2502 cars in town.
C. The area is 17 ha.; 14,212 cars in town. (B)

linear pair postulates

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.