What will be the angle between the hands of the clock at 8:30?

The minute hand at 30 minutes points at the 6 on the clock.

The minute hand position from 12 o'clock:

$\text{Minute hand angle} = 30 \times 6°$

$\text{Minute hand angle} = 180°$

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The hour hand at 8:30 is past the 8 and has moved partway toward the 9.

At 8:00, the hour hand position from 12 o'clock:

$\text{Hour hand angle at 8:00} = 8 \times 30°$

$\text{Hour hand angle at 8:00} = 240°$

In 30 minutes, the hour hand moves:

$\text{Additional movement} = 30 \times \dfrac{30°}{60}$

$\text{Additional movement} = 15°$

Total hour hand position at 8:30:

$\text{Hour hand angle} = 240° + 15°$

$\text{Hour hand angle} = 255°$

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The angle between the hands:

$\text{Angle} = |255° - 180°|$

$\text{Angle} = 75°$

Therefore, the angle between the clock hands at 8:30 is $75°$.