The correct option is C 150
In one hour, the minute hand covers 360∘ and the hour hand covers 30∘. When the minute hand covers 180∘, the hour hand covers 15∘. So at 6:30, minute hand covers 180∘ and hour hand covers 195∘ [From 12:00]. The angle included between the minute and hour hand at 6:30 is 15∘.