It takes mr. martin 12 minutes to drive his bus route without stopping to pick up any passengers. for each passenger stop, he estimates that 30 seconds is added to his travel time. on tuesday, mr. martin spends 14 minutes driving his route.
which equation can be used to determine the number of passenger stops, p, mr. martin had on tuesday?
14 = 0.5p + 12
14 = 12p + 0.5
p = 0.5(14) + 12
p = 12(14) + 0.5

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.