why is rhumb line bearing for this question 270 as the answer?
The only movement in the east-west direction is your 2nd leg, moving west. Therefore, from the starting point G to the ending point K, the bearing is west, 270 degrees. The answer 090 would describe the course from K to G to close the path.
K---&gt;090---&gt;G
^           |
|           V
J&lt;---270&lt;---H

All the legs are the same length, and the north/south aren't drawn to the same scale as the east/west, but it's just a square.  270 from H to J, so 090 from K to G.  And thus 270 from G to K.