Big Book General Test 5, Section 6, Q.8

The answer is C, but I picked D because I didn’t want to assume that the line containing the two 50 degree angles is a straight line and hence the angles add up to 180 (especially since the question does not label the bigger figure as a triangle). I have seen problems before where making such assumptions has been considered wrong, then what justifies making it here?

The answer is C, but I picked D because I didn’t want to assume that the line containing the two 50 degree angles is a straight line and hence the angles add up to 180 (especially since the question does not label the bigger figure as a triangle). I have seen problems before where making such assumptions has been considered wrong, then what justifies making it here?