In the following question, which one of the given responses would be a meaningful order of the following words in ascending order ?

In triangle $mathrm{ABC}, angle mathrm{BAC}=75^{circ}, angle mathrm{ABC}=45^{circ} cdot overline{mathrm{BC}}$ is produced to $mathrm{D}$. If $angle mathrm{ACD}=x^{circ}$, then $frac{x}{3} \%$ of $60^{circ}$ is

Answer : Option B

Explanation :

$angle mathrm{ACB}=180^{circ}-75^{circ}-45^{circ}$

$=60^{circ}$

$angle mathrm{ACD}=180^{circ}-60^{circ}=120^{circ}=x$

$herefore frac{x}{3} \%$ of $60^{circ}=60 imes frac{120}{300}=24^{circ}$