Question

What is the angle between the hour and minute hand of a clock when time is 9:15 PM?

• A. ${160}^{\circ }$
• B. ${180}^{\circ }$
• C. ${170}^{\circ }$
• D. ${150}^{\circ }$

Answer 1

The correct option is B

${180}^{\circ }$

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

There are six ${30}^{\circ }$ angles in the given angle as shown below:



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

OR

We can observe that the angle formed is a straight angle. A striaght angle measures ${180}^{\circ }.$