Angle between hour hand and minute hand Time A. 105° (I) 7:15 B. 45° (II) 9:15 C. 127.5° (III) 4:30 D. 187.5° (IV) 2:30 Match each angle (A to D) with the time (I to IV) at which the hands form it,…

The angle between the hands is |30H − 5.5M| degrees. 7:15 gives 210 − 82.5 = 127.5° (C-I); 9:15 gives 270 − 82.5 = 187.5° (D-II), which is the reflex angle, the smaller one being 172.5°, and no other time fits it; 4:30 gives |120 − 165| = 45° (B-III); 2:30 gives |60 − 165| = 105° (A-IV). So the match is A-IV, B-III, C-I, D-II.