The hands of a clock form two 120 degree angles at what o'clock and at what o'clock?

Answer 1

The 120° angles make up 1/3 of one full rotation of the hands on the clock, with a full rotation divided up into 12 equal sections ( i.e. the hours on the clock face). 1/3 of those 12 sections would be 4 sections, and since we are looking for exact hours that represent this angle, we need four sections forming each of the 120° angles with the minute hand on the clock being at "12". Therefore, the hour hand can be at the "4" for 4 o'clock and it could also be at the "8" for 8 o'clock.