Calculating angle x.
Let length blue be 1 unit.
a = 180-20-10
a = 150°
(1/sin10) = (b/sin150)
b = 2.87938524157 units.
c = 180-50-20-30-10
c = 180-110
c = 70°
(2.87938524157/sin70) = (d/sin(30+10))
d = 1.96961550602 units.
e² = 1+1.96961550602-2*1.96961550602cos50
e = 1.53208888623 units.
Therefore, the required angle x is;
(1.53208888623/sin50) = (1/sinx)
x = asin(0.5)
x = 30°
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