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Given AABC = ADEF, find the measure of the given angles:

Angle M/_A = x + 33
Angle M/_D = 2x
What is the measure of angle M/_A and angle M/_D?
A) M/_A = x + 33, M/_D = 2x
B) M/_A = 33, M/_D = 2
C) M/_A = 2x, M/_D = x + 33
D) M/_A = 2, M/_D = 33

1 Answer

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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.

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