Calculating a point's position on a line so the angle of two segments are equal.

Question

I'll try to explain the problem a bit better with the image attached. So, given a line, as seen in the picture, and two points, C and D, I want to find the position of a third point, E, in a way that the angles formed by the line with CE and DE are equal. How do I do that?

I hope the explanation of the problem was clear enough. If not, let me know, I'll try my best. Thanks in advance. :)

Answer 1

Hint: Find the point D', the mirror image of D.