Find the angle between the two hands of the clock at 9:16.

The minute hand position at 16 minutes past the hour:

The minute hand completes 360° in 60 minutes.

Minute hand angle $= \dfrac{16}{60} \times 360°$

$= \dfrac{16 \times 360°}{60}$

$= 96°$ from 12 o'clock

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The hour hand position at 9:16:

At exactly 9:00, the hour hand is at:

$9 \times 30° = 270°$ from 12 o'clock

The hour hand moves 30° in 60 minutes (one hour).

In 16 minutes, the hour hand moves:

$\dfrac{16}{60} \times 30° = 8°$

Hour hand angle at 9:16 $= 270° + 8° = 278°$ from 12 o'clock

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The angle between the two hands:

$|278° - 96°| = 182°$

Therefore, the angle between the two hands at 9:16 is 182°.