I believe the answer is D. The other answers would not make sense, because we do not know what kind of triangle we are looking at and none of the lines are parallel or perpendicular. Therefore we need two angles. C would not work, because if we knew A or B, we would know that the two angles are supplementary. If we had A, then B is 180-A, and vice versa. We do not need both A and B.
HELP Cynthia is finding the measures of the labeled angles in this image. What is the least number of angle measures she needs to know to find the measures of all labeled angles in the image? A.She only needs to know the measure of one angle, angle D. B.She only needs to know the measure of one angle, angle A. C.She only needs to know the measures of two angles, angles A and B. D.She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.