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Finding the apex - Simple Trig, but can't figure it out.

Attachment 19274

In the above drawing, it is simple to find the angles and legs of each individual triangle using Trig. For example, the one angle is Ø = ATan(((3.0 - 2.5)/2)/2.1).

The other angle is, Ø = ATan((((3.0 - 2.6)/2)/(1.6 - 0.9)).

Using those angles, I can find the hypotenuse of either triangle. However, in order to find "X" in this drawing, it is dependant on BOTH angles, and not just one.

Usually in Trig, all I need is one angle and one side, or 2 sides.....but when something like this, which involves 2 angles....I'm stumped!!!

Does anyone know how to solve this?

Thanks a lot!