Q8. - Geometry

Question

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

Step-by-Step Solution

Answer

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

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 $120°.$