Let AC = 1 unit.
(1/sin160) = (CD/sin5)
CD = 0.25482634415 units.
(BC/sin30) = (1/sin80)
BC = 0.50771330594 units.
(BD)² = 0.50771330594²+0.25482634415²-2*0.25482634415*0.50771330594cos55
BD = 0.41748304149 units.
Calculating angle CBD .
Let it be a.
(0.25482634415/sina) = (0.41748304149/sin55)
a = 30°
Therefore angle x is;
Angle ABC - a
= 80-30
= 50°
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