Tough ACT math question

Hey guys, could anyone help me to solve this question?

https://s32.postimg.org/ww9e2filh/ACT_Frage.jpg

The Answer is 72, but why?

The measurement of Vertical angles are always equal. Therefore, the measurement of the angle opposite Y is also the same measurement as Y.

If the measurement of angle X is equal to 4 * the measurement of angle Y, then:

4*Y + Y = 360 degrees.
5Y=360
Y=72

Hope this helps.