Let the base of the ascribed triangle be 1 unit.
a = 180-12-42-12-36
a = 180-102
a = 78°
(1/sin(12+36)) = (b/sin78)
b = 1.3162274259 units.
c = 180-12-42
c = 180-54
c = 126°
(1.3162274259/sin126) = (d/sin12)
d = 0.3382612127 units.
f² = 0.3382612127²+1-2*0.3382612127cos12
f = 0.6728163648 units.
It implies, the required angle x, is;
(0.6728163648/sin12) = (0.3382612127/sinx)
x = 6.0442188698°
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