What will be the measurement of the angle made by the hands of a clock when the time is 8:40?

20°

The correct answer is Option (1) → 20°

At 8:40, let’s calculate the positions of the hour and minute hands.

Step 1: Position of the minute hand

• Minute hand moves 6° per minute
• At 40 minutes:
  $40 \times 6 = 240^\circ$

Step 2: Position of the hour hand

• Hour hand moves 30° per hour
• At 8 hours:
  $8 \times 30 = 240^\circ$
• Extra movement in 40 minutes:
  $40 \times 0.5 = 20^\circ$

So, hour hand position =
$240 + 20 = 260^\circ$

Step 3: Angle between the hands

$|260 - 240| = 20^\circ$