The minute hand turned 120 defrees.
For every 5 minutes, minute hand will turn 30 degrees as it takes 12 times 5 minutes to complete one round (one hr), which is 360 degrees. For Every 15 minutes, it turns 90 defrees.
So from 5.15 to 5.35pm, the minute had turned 20 minutes, that is 4 times of 5 minutes.
4 times of 5 minutes is equal to 4 times of 30 degrees, since it turns 30 degress for every 5 minutes.
So it has turned 120 degrees to move from 5.15 pm to 5.35 pm