Which of the following can be classified as the smaller angle between the hour hand and minute hand at 8 o'clock?
Obtuse Angle
A clock has a total of 360°.
The angle between any two consecutive numbers on a clock
= 360∘12 = 30∘ [∵ a clock has 12 divisions]
At 8 o'clock, the minute hand is at 12 and the hour hand is at 8 and there are 4 divisions between 8 and 12.
∴ The angle between them = 4 × 30∘
= 120∘
Hence the angle formed at 8 o'clock is an obtuse angle since it is more than 90° and less than 180°.