Let AB = 1 unit.
Calculating CD.
a = 180-40-60
a = 80°
a is angle ADB.
Observing Sine Rule.
(1/sin80) = (b/sin40)
b = 0.6527036447 units.
b is AD.
c = 180-80
c = 100°
c is angle ADC.
d = 180-100-30
d = 50°
d is angle CAD.
Therefore, Observing Sine.
(0.6527036447/sin30) = (e/sin50)
e = 1 unit.
e is CD.
It implies;
AB = CD
Proved!
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