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

The correct answer is Option (1) → 182°

Step 1: Formula for angle between hour and minute hands

$\text{Angle} = \Big| 30H - 5.5M \Big|$

Where:

• H = hour
• M = minutes

Step 2: Substitute values

• H = 9
• M = 16

$\text{Angle} = |30(9) - 5.5(16)|$

$= |270 - 88|$

$= |182°|$