Question

You are facing North. Turn 90 degrees left. Turn 180 degrees right. Turn around to reverse your direction. Turn 45 degrees left. Turn around to reverse your direction. In which direction are you facing?

Answer 1

North
You are facing north. 90 degrees left is west. 180 degrees is now east. Reversing your direction is the same as 180 so your now back to facing west. Turn 45 left you’re now facing south. Reverse again and you’re facing north.

Answer 2

Final direction is 45 degrees south of west or 45 degrees west of south.

Explanation:

i) You are facing North

Turn 90 degrees left

ii) 90 degrees left to north is west.

Turn around to reverse your direction

iii) On reversing direction you will be facing east.

Turn 45 degrees left

iv) On turning 45 degrees left, you will be facing north east.

Turn around to reverse your direction

v) On reversing direction you will be facing south west.

Final direction is 45 degrees south of west or 45 degrees west of south.