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I like your question. The hour hand is 10/60 from vertical, which reduces to 1/6. Converting to degrees (there are 360 degrees in a circle), would mean 1/6 of 360, resulting in 60. 21 minutes from vertical is 21/60, but since degrees are 6 times more than minutes, the product of 21 and 6 is 126. The clockwise angle is therefore 60 + 126 = 186.

Since 186 is larger the a straight line, one might also answer that the angle formed on the Southwest side of the two hands is 174 (360 - 186). There are two angles formed by the hands in the circle.

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13y ago

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