At 4:30 AM, what is the angle formed between the hour hand and the minute hand?

Explanation

Formula for finding angle between hour hand and minute hand $$ \theta = [\frac{11}{2} \times minute - 30 \times hour] $$ At 4 : 30 am $$ \theta = [\frac{11}{2} \times 30 - 30 \times 4] $$ $$ = [11 \times 15 - 120] $$ $$ = [165^\circ - 120^\circ] $$ $$ = 45^\circ $$