Question

Find the angle that is two counterclockwise rotations from 60degrees. Then find the angle that is three clockwise rotations from 60degrees?

Answer 1

Counterclockwise - add 360° per rotation
Clockwise - subtract 360° per rotation

$\theta_1=60^o+2\times360^o=780^o \\ \theta_2=60^o-3\times360^o=-1020^o$