Correct : a

The frame has a pin at the left base (A) and a vertical roller at the right base (B). The top beam is 4 m long (2 m + 2 m) with a 90 kN vertical load at midspan, and a 50 kN horizontal load at the top-left joint.
Support reactions:
ΣF_x = 0: H_A = 50 kN (←)
ΣM_A = 0: V_B × 4 = 90 × 2 + 50 × 3 = 180 + 150 = 330 → V_B = 82.5 kN
ΣF_y = 0: V_A = 90 − 82.5 = 7.5 kN
Bending moment at critical sections:
At top of left column: M = H_A × 3 = 50 × 3 = 150 kN·m
At top of right column: M = 0 (no horizontal reaction at roller)
At midspan of beam (taking free body from right end):
M_mid = V_B × 2 = 82.5 × 2 = 165 kN·m
The maximum bending moment in the frame is 165 kN·m occurring at the midspan of the top beam.
Correct answer: A — 165 kN·m ✓