Question

Question 4
Measures of the two angles between hour and minute hands of a clock at 9 0' clock are
a) ${60}^{\circ },{300}^{\circ }$
b) ${270}^{\circ },{90}^{\circ }$
c) ${75}^{\circ },{285}^{\circ }$
d) ${30}^{\circ },{330}^{\circ }$

Answer 1

A reflex angle measure is more than ${180}^{\circ }$ but less than ${360}^{\circ }$. For any acute angle $\theta$, its reflex angle is $({360}^{\circ }-\theta )$.

The positions of an hour and minute hands of a clock at 9 0' clock are represented in the given figure.

Clearly, $\angle 1={90}^{\circ }$
and $\angle 2=$Reflex of $\angle 1={360}^{\circ }-{90}^{\circ }={270}^{\circ }$