Question

At 8 oclock the hands of the clock make a obtuse angle and a reflex angle... find the reflex angle. ​

Answer 1

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The answer is Reflex angle = 240 degrees

A complete angle is 360 degrees.

There are total twelve numbers on a clock, that is 1 to 12.
The hands of the clock will make an angle with minute hand on 12 and hour hand on every number.

So each number makes an angle of: 360/12

=> 30 degrees

So the hands of 8 o’clock will form: 30 x 4

=> 120 degrees

Here, we multiplied 30 degree with 4 because there are four numbers between 8 and 12. Hence, the obtuse angle formed by the hands of 8 o’clock will be 120 degrees.

But we need the reflex angle:

Complete angle - Obtuse angle = 360 - 120

=> 240 degrees

Thus, reflex angle formed by the hands of 8 o’clock will be 240 degrees.