Mathematics Question and Solution
Calculating angle x (angle CBD).
Let the two equal lengths of the plane shape be 1 unit.
a = 180-30-24
a = 180-54
a = 126°
a is angle ABC.
It implies;
Observing sine rule.
(1/sin30) = (b/sin24)
b = 0.8134732862 units.
b is AB.
Observing cosine rule.
c² = 0.8134732862²+1-2*0.8134732862*1cos30
c = 0.5027541398 units.
c is BD.
Observing sine rule.
(0.5027541398/sin30) = 1/sind)
d = 84°
d is angle ABD.
It implies, the required angle x (angle CBD) is;
x+d = a
x = a-d
x = 126-84
x = 42°
