Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day

Answer:
53°
Step-by-step explanation:
not sure what you mean by nearest degree but use the cosine ratio to get the answer.
in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75
<C=cos^1 (45/75)
<C= 53°