Angle Between Hands of a Clock

Input: hour = 12, minutes = 30

Output: 165

At 12:30, the minute hand points at 6 (180°) and the hour hand has moved halfway between 12 and 1 (15°). The angle between them is |180 - 15| = 165°.

Input: hour = 3, minutes = 30

Output: 75

At 3:30, the minute hand points at 6 (180°) and the hour hand is halfway between 3 and 4 (105°). The angle between them is |180 - 105| = 75°.

Input: hour = 3, minutes = 15

Output: 7.5

At 3:15, the minute hand points at 3 (90°) and the hour hand has moved slightly past 3 (97.5°). The angle between them is |97.5 - 90| = 7.5°.

Problem