What will be the measurement of the angle made by the hands of a clock when the time is 6:14?

103°

The correct answer is Option (1) → 103°

Step 1: Position of the minute hand

$14 \times 6 = 84^\circ$

Step 2: Position of the hour hand

At 6:00 → $6 \times 30 = 180^\circ$

Movement in 14 minutes:

$14 \times 0.5 = 7^\circ$

So,

$\text{Hour hand position} = 180 + 7 = 187^\circ$

Step 3: Angle between the hands

$|187 - 84| = 103^\circ$