The answer is 66 degrees if you're on plato, I just took the assignment.
The measure of ∠C' in degrees is 66°.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar triangles are the triangles that are the same in shape, but may not be equal in size.
For the given situation,
The triangle ΔABC maps similarity transformation to ΔA′B′C′.
This implies, the corresponding sides and corresponding angles of triangle ΔABC and ΔA′B′C′ are similar.
The measure of ∠A is 68°, and
The measure of ∠B is 46°.
Let x be the measure of ∠C
We know that, sum of interior angles of triangle is 180°.
⇒ 68+46+x = 180
⇒ 114+x = 180
⇒ x = 180-114
⇒ x = 66
Now, measure of ∠C is 66°.
By definition, the corresponding angles are similar.
Thus the measure of ∠C' is 66°.
Hence we can conclude that the measure of ∠C' in degrees is 66°.
Learn more about similarity of triangles here
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