Find the measures of the angles between two hands of a clock at 6'o clock.

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Solution

We know in a clock, There are 12 divisions
Step 1-: $12$ divisions $= 1$ revolution $= 360 °$
Step 2-: $1$ division $= \frac{360 °}{12} = 30 °$
Step 3-: As per the diagram of the clock, from $12$ to $6$ we have six divisions
Step 4-: $6 \times 1$ divisions $= 6 \times 30 °$
Step 5-: $6$ divisions $= 180 °$
Hence both hands of the clock make an angle of $180 °$ at $6$ o'clock

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