i hope that is right.
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 4: join points n and y using a straightedge.
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.
8x + 300 = 2772
subtract 300 from both sides of the equal sign
8x = 2472
divide 8 from both sides of the equal sign
x = 309