Find the angle between the large hand and small hand of a clock at the time `4:30`.

Explanation

To find the angle between the large hand (minute hand) and the small hand (hour hand) of a clock at 4:30, we can follow these steps:

### Step 1: Calculate the angle of the hour hand at 4:30
The hour hand moves 360 degrees in 12 hours. Therefore, the angle moved by the hour hand for each hour is:
\[ \text{Angle per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \]
At 4:00, the hour hand is at:
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