Mathematics Question and Solution
Calculating angle x (angle CBD).
Let AC = 1 unit.
a = 180-12-18
a = 150°
a is angle ADC.
(b/sin12) = (1/sin150)
b = 0.4158233816 units.
b is CD.
c = 180-(54+12)-(48+18)
c = 180-66-66
c = 48°
c is angle ABC.
(1/sin48) = (d/sin66)
d = 1.2292966678 units.
d is BC = AB.
e² = 1.2292966678²+0.4158233816²-2*1.2292966678*0.4158233816cos48
e = 1 unit.
Therefore, the required angle x (angle CBD) is;
(1/sin48) = (0.4158233816/sinx)
x = 18°
