Question

The hands of a clock form a $120°$ angle at $?.$ o’clock and at $?.$ o’clock.

Short answer

The angle formed between the hands of the clock is $330°.$

Step-by-step solution

Step 1. Given information:

The time when the hands of the clock $=120°.$

Step 2. Concept used:

A clock is a circle made of $360°$, and that each number represents an angle and the separation between them is $\frac{360}{12}=30°$.

Step 3. Applying the concept:

A clock is a circle made of $360°$, and that each number represents an angle and the separation between them is $\frac{360}{12}=30°$.

In $120°$ separation between the numbers is $120°÷30°=4$

So at $8$ o’clock and $4$o’clock minute hand is on $12$ and the hour hand is on $8$ and $4$respectively.

Therefore, at $8$o’clock and $4$o’clock angle will $120°.$