Question

What is the angle between the hour and minute hands of a clock that reads 6:00 PM?

• A. ${180}^{\circ }$
• B. ${175}^{\circ }$
• C. ${185}^{\circ }$
• D. ${170}^{\circ }$

Answer 1

The correct option is A

${180}^{\circ }$

The angle between any two consecutive numbers on the clock is $\frac{360}{12}={30}^{\circ }.$

There are six such ${30}^{\circ }$ angles in the angle made between the hour and the minute hands.

$\therefore$ The angle made by the hands of the clock is $6\times {30}^{\circ }={180}^{\circ }.$