Question

What is the angle included between the hour hand and the minute hand, if the time shown by the watch is 06:30? Is it acute or obtuse?

• A. $0^{\circ }$, Acute
• B. ${180}^{\circ }$, Obtuse
• C. ${15}^{\circ }$, Acute
• D. ${30}^{\circ }$, Acute

Answer 1

The correct option is C

${15}^{\circ }$, Acute

In one hour, minute hand covers 360° and hour hand covers 30°. When the minute hand covers 180°, hour hand covers 15°. So at 6:30, minute hand covers 180° and hour hand covers 195°. The angle included between the minute and hour hand at 6:30 is 15°.