Let the shortest length of the composite plane shape be 1 unit.
(1/sin12) = (a/sin153)
a = 2.18357369878 units.
(2.18357369878/sin27) = (b/sin99)
b = 4.75051853365 units.
c² = 4.75051853365+1-2*4.75051853365cos39
c = 4.02290116111 units.
Calculating the required angle x.
(4.02290116111/sin39) = (1/sinx)
x = 9°
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