If a clock started at noon, then the angle turned by hour hand at 3.45 PM is
The hour hand covers 30° in an hour
$$\therefore$$ Angle turned in 3$$\frac{3}{4}$$ hours i.e. $$\frac{15}{4}$$ hours
= $$\frac{15}{4}$$ * 30° = $$\frac{225^{\circ}}{2}$$
= 112$$\frac{1^{\circ}}{2}$$
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