Question

Measure of two angle between hour and minute hands of a clock at 4 O’clock in degree are * (a) 210 , 150 (b) 240 , 120 (c) 75 , 285 (d) 100 , 260​

Answer 1

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Given:

• Time of the clock = 4 o'clock

Required To Calculate:

• Two angles between Minute and Hour Hand

Solution:

Let one of the angle be $\theta$

We know that,

The angle made by the hands of the clock in 60 minutes is $360^{\circ}$.

So, angle made in one minute = $6^{\circ}$.

Angle between Minutes hand and Hour hand at 1 o'clock = $5\times {6}^{\circ}$ => $30^{\circ}$

Therefore, angle between Minutes hand and Hour hand at 4 o'clock = $20\times 6^{\circ}$ => $120^{\circ}$

Since, one angle is $120^{\circ}$. Other angle will be $360^{\circ}-120^{\circ}$ => $240^{\circ}$.

So, option B is the correct answer.

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Answer 2

Answer:

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