What is the number of degrees in the smaller angle formed by the hands of a clock at $8:55$?

The big hand is on the 11

The little hand is 11/12 of the way from 8 to 9

So they are both on the left hand side of the clock.

from 9 to 11 is 2/12 *360 = 60 degrees

1/12 of 1/12 * 360 = 2.5 degrees

So I get 62.5 degrees

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