[75^\circ] The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

For Competitive Exams

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

80$^\circ$

75$^\circ$

60$^\circ$

105$^\circ$

Explanation:

Angle traced by hour hand in$ \dfrac{17}{2} $hrs =$\left(\dfrac{360}{12} \times \dfrac{17}{2}\right)^\circ$= 255.

Angle traced by min. hand in 30 min. =$ \left(\dfrac{360}{60} \times 30\right)^\circ$ = 180.

$\therefore$ Required angle = (255 - 180)$^\circ$ = 75$^\circ$

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