This is going to be a difficult problem with a digital clock. It's not so bad with an old-fashioned clock, one with actual hands. Since you did not specify AM or PM, we'll assume that you have a 12-hour clock, not a military clock. The angle is (5/12) of a full circle = (5/12) x (360 degrees) = 150 degrees That's on the right side. On the left side, it's 210 degrees.
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There are two angles between 5 and 8 on a clock face. The smaller (right) angle is 90 degrees. The larger (reflex) angle is 270 degrees.
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A 5 degree angle is called an acute angle. Any angle less than 90 degrees is acute.
Imagine a clock: a circle is 360 degrees, so every 5 minutes is 30 degrees. If you started at 1pm and rotated it 90 degrees it would be 1.15pm
Cut a cake into 5 equal pieces. Take out 2 pieces. The remainder looks like three fifths. On an analogue clock face, it is the bigger angle between 12 o'clock and 36 minutes. 3/5