Mathematics Question and Solution
a = 180-50-30
a = 100°
a is angle AED.
Let DE = 1 unit.
(1/sin30) = (b/sin100)
b = 1.969615506 units.
b is AD.
c = 180-80-50
c = 50°
c is angle CAD.
(1.969615506/sin80) = (d/sin50)
d = 1.5320888862 units.
d is CD.
CE = 1.5320888862-1
CE = 0.5320888862 units.
e = 180-50
e = 130°
e is angle ADB.
f² = 0.5320888862²+1.969615506²-2*1.969615506*0.5320888862cos130
f = 2.3472963553 units.
f is AB.
Therefore, calculating the required angle, angle BAD (angle x).
(2.3472963553/sin130) = (1.969615506/sing)
g = 40°
g is angle ABD.
It implies angle BAD (angle x) is;
x = 180-130-40
x = 10°
