Question

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

• A. ${165}^o$
• B. ${170}^o$
• C. ${175}^o$
• D. ${180}^o$

Answer 1

The correct option is A ${165}^o$

$\alpha =90+15\times {\left(\frac{1}{2}\right)}^o=\frac{{195}^o}{2}$
$\beta =360-\frac{195}{2}=\frac{720-195}{2}=\frac{525}{2}$
Difference$=\frac{525-195}{2}=\frac{330}{2}={165}^o$