Answer:
∠A: 98 (Is a vertical angle to the 98 degrees)
∠D: 151 (180-29)
∠H: 29 (Is a vertical angle to the 29 degrees)
∠I: 29
∠J: 151
∠M: 151 (Vert angle to <J)
∠R: 82 (180-98)
He can conclude that the system of equations has no solution since one equation in it always results with false equivalency.
Hope this helps.
r3t40