Circling a Triangle?

Question

I’m having trouble wrapping my head around this one:

You start from a given set point, and walk one mile in a straight line, then turn 60 degrees to the left. You then walk another mile in a straight line, and then turn 60 degrees to the left. Finally, you walk another mile, and finish with a 60 degree turn to the left. You are now back at your start point, facing the way you started. Then angles add up to a triangle, 180 degrees. But hasn’t your body done a 360?

In: Mathematics

Answer 1

60 degrees is the inside measurement. In your example you are facing the outside, not the inside, so you want to turn 120 degrees. 3 * 120 = 360!