180 deg - 165 deg 12 min
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Suppose one angle is x and the other angle is 14x. Supplementary angles add to 180o, so x+14x = 180 15x = 180 x = 180/15 x = 12. The required angle is 12o. Check: The second angle will be 14*12 = 168. 168+12 = 180, so the large angle is the supplement of the small one.
13.75
Measuring from the minute hand (at 12) and going clockwise, it would be 210 degrees.
165
At 12:30 the hour hand would be halfway between 12 and 1. So on the right hand side there would be an obtuse angle (165 degreees) whereas on the left there would be a reflex angle (195 degrees).