If all the sides are equal, then it is an equilateral triangle. This means after walking 100 meters, you had to turn 1/3 of 180 degrees (because that's what the interior angles of the triangle add up to).
So, 180 * 1/3 = 60 degrees.
We aren't done yet.
60 degrees is not the angle which you have turned from your path.
You turned 120 degrees to describe an angle of 60 degrees on the interior side.
The answer is B.