The hands of a clock show exactly 2 o'clock. The angle between the minute hand and the hour hand is measured. At 4 o'clock, the angle is 120°. What is the difference between the angle at 4 o'clock and the angle at 2 o'clock?
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Worked Solution
Step 1: A clock face has 360° divided into 12 equal parts.
Each hour = 360° ÷ 12 = 30°.
Step 2: Angle at 2 o'clock = 2 × 30° = 60°.
Step 3: Angle at 4 o'clock = 4 × 30° = 120° (given).
Step 4: Difference = 120° − 60° = 60°.
Correct answer: 60°
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