Final answer:
After setting up the equations for angle M/_A and angle M/_D as x + 33 and 2x respectively and solving for x, we find that both angles measure 66 degrees each, which is not listed as an option in the question provided.
Step-by-step explanation:
The question given is about solving for the measures of two angles, angle M/_A and angle M/_D, with the given relationships M/_A = x + 33 and M/_D = 2x. Since it is stated that triangle AABC is congruent to triangle ADEF, corresponding angles of these triangles must be equal. Thus, angle M/_A and angle M/_D must be congruent and their measures must be equal.
To find the exact measures of these angles, we set the equations representing the angle measures equal to each other: x + 33 = 2x. Solving for x, we subtract x from both sides to get x = 33. Now we can determine the measures of the angles: M/_A = x + 33 = 33 + 33 = 66 degrees, and M/_D = 2x = 2(33) = 66 degrees.
So, the measure of angle M/_A is 66 degrees and the measure of angle M/_D is also 66 degrees, meaning the correct answer is not provided among the options listed in the question. There may have been a typo in the question or the options presented.