I have two problems regarding the calculation of angles given certain values.
In the first problem I need to calculate the angle X given that both angles Y are identical

In the second problem I need to calculate the angles Z where both Z's are identical

Any help/suggestions would be greatly appreciated.
Thank you
Hint: For the first one, note that the two triangles are similar. How much of the 80 units on the bottom is in each triangle? For the second one, try drawing a vertical at the point where the path hits the top line and perform a similar analysis.