Solving for x using multiple triangles. Question in JPG format.

Solve for x. Diagram in attachment below.

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... sines states: sin(a)/A = sin(b)/B = sin( c )/C.
Now, with these two things in mind lets get back to our problem:
The big triangle has 3 sides. Let's call C the side on the left and D the side on the right. Now call c the angle opposite to side C and d the angle opposite to side D. At this point, if you look at the triangle, we have five unknowns: x, ...