Question

Find the measure of reflex angle made between the hands of a clock at $5$ o'clock.

Answer 1

We know, $12$ divisions $=1$revolution$=360°$

Step 1-: $1$ division$=\frac{360°}{12}=30°$

Step 2-: From the figure, it is clear that the hour hand of the clock $5$ divisions away from $12$ at $5$ o'clock.

Step 3-: Multiply on both sides of the equation of step 1 by $5$, we get

$5\times 1$ division $=5\times 30°$

Step 4-: $5$ divisions $=150°$

Step 5-: Reflex angle made between the hands of a clock at $5$ o'clock $$\begin{gathered} =360°-150° \\ =210° \end{gathered}$$

Hence, the reflex angle made between the hands of a clock at $5$ o'clock $=210°$