Question

In the picture triangle A’B’C’ is an image of triangle ABC after a rotation. The center of rotation is D. What is the measure of angle C?

Answer 1

The image point C' has the angle 50 degrees. The preimage point C corresponds to C', and the two angles here will be the same measure. This is because rotations do not change angle sizes. The shape of ABC is the same as shape A'B'C'.

So in short, angle C is 50 degrees