Let us say that triangle XYZ has sides of XY, YZ, and ZX.
Each of the corners X, Y, and Z are located at their own (x, y) points.
If all of the triangle are transformed through translation by a movement of 2 units left and 1 unit down on the coordinate plane then we generate a triangle X’Y’Z’.
Then each of the corners X’, Y’ and Z’ are now located at (x – 2, y – 1) coordinates.
Since all of the corners were moved then we can also say that:
XY is congruent to X’Y’
YZ is congruent to Y’Z’
ZX is congruent to Z’X’
Since all sides are congruent, therefore all angles are also congruent.
Therefore the measure of angle x’ is equal to the measure of angle x.
Answer:
40 degrees
