Clock hands

The hands-on clock shows the time 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later.

Correct answer:

x =  79 °

Step-by-step explanation:

$$\begin{gathered} 12:02+3:00=15:02=03:02 \\ x=(3+2\mathrm{/}60)\mathrm{/}12\cdot 360-2\mathrm{/}60\cdot 360 \\ x=(3+2\mathrm{/}60)\cdot 30-2\cdot 6=79\text{°}=79\mathrm{°} \end{gathered}$$

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