This construction is impossible. There is no solution for [tex]x[/tex].
The supplement of 130° is 50°, so the right triangle is isosceles with two angles measuring 50°, and its third angle measures 180° - 2•50° = 80°.
This angle's supplement is 100°. But that would mean the left triangle has two base angles measuring 100°, and its vertex angle ([tex]x[/tex]) would have to measure 180° - 2•100° = -20°.
