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Question

Which of the following can be classified as the smaller angle between the hour hand and minute hand at 8 o'clock?


A

Straight Angle

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B

Acute Angle

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C

Right Angle

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D

Obtuse Angle

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Solution

The correct option is D

Obtuse Angle


A clock has a total of 360°.
The angle between any two consecutive numbers on a clock
= 36012 = 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°.


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