SOLUTION: what is the measure of the angle formed by the hands of a clock at 10:20?. It is not 180 .What fraction of a complete cycle has the big hand moved since 10? .Hasn't the little hand

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Question 452465: what is the measure of the angle formed by the hands of a clock at 10:20?. It is not 180 .What fraction of a complete cycle has the big hand moved since 10? .Hasn't the little hand moved that same fraction of the way from 10 to 11?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It would be 180 if the hour hand stayed the same. However, the little hand travels 1/3 of 1/12 of a circle (1/36 of a circle) which is 10 degrees. Here, we have to subtract 10 degrees to take this into account, which means the angle formed is 170 degrees.