Question

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

Answer 1

At 4 o'clock the angle between hour hand and minute hand is 120 degrees.
In a minute, the hour hand moves by half degrees and the minute hand moves by six degrees.
So in 30 minutes the hour hand moves 15 degrees and the minute hand moves 180 degrees.
Therefore, the angle between the hour hand and the minute hand at 4:30 is
$180-120-15=45$
$45$ degrees.