Observe that, at any instant, the minute and | vedclass

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Question

(a)

At 6: 15,

the minutes hand makes an angle is $\alpha$.

$	herefore \quad \alpha =90^{\circ}+15 	imes\left(\frac{1}{2}ight)^{\circ}$

Vedclass · Accepted Answer

$165$

Vedclass · Answer

(a)

At 6: 15,

the minutes hand makes an angle is $\alpha$.

$	herefore \quad \alpha =90^{\circ}+15 	imes\left(\frac{1}{2}ight)^{\circ}$

$\alpha =\left(\frac{195}{2}ight)^{\circ}$

and hour hand is $\beta$.

Given, $\alpha+\beta=360^{\circ}$

$	herefore \quad \beta =360^{\circ}-\alpha$

$=360^{\circ}-\left(\frac{195}{2}ight)^{\circ}=\left(\frac{525}{2}ight)^{\circ}$

Difference between their angles

$=\frac{525}{2}-\frac{195}{2}=\frac{390}{2}=165^{\circ}$

Observe that, at any instant, the minute and hour hands of a clock make two angles between them whose sum is $360^{\circ}$. At $6: 15$ the difference between these two angles is $....^{\circ}$

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