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A palace clock with Roman numerals shows the time in the picture. What is the smaller angle between its hands?

Competition practiceClocks

A180°
B150°
C195°
D165°

Step-by-Step Solution

The clock shows 11:30. Hour hand:

30 \times 11 + \frac{30}{2} = 34 5^{\circ}

; minute hand:

6 \times 30 = 18 0^{\circ}

. Difference

16 5^{\circ}

. (180° assumes the hour hand sits on XII.)

Answer: D) 165°

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