What is the reflex angle between the two hands of a clock at 3:45?
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It covers 360/12 = 3o degrees in 6o minutes, so it'll cover 30 x 3/4 degrees in 45 mins ( multiplying each by 3/4 ), which is = 22.5 deg. So, now we can easily find out the angle between hour and minute hand. The smaller angle is 180 - 22.5 = 157.5 degrees, and the reflex angle is 180 + 22.5 = 202.5 dgrees.
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