People aren't good at being random. when trying to mimic the results of repeatedly flipping a coin and recording heads or tails, people forget that "if a fair coin toss comes up heads thirty times in a row, the next toss is still equally likely to be heads or tails" and this results in people putting down "too many reversals, and too few strings of heads, in their successive guesses" (dixit & nalebuff, 1991, p. 184).

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.

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: