Mathematics Question and Solution
Let the two equal lengths be 1 unit each.
(1/sin20) = (a/sin40)
a = 1.87938524157 units.
b = a-1
b = 0.87938524157 units.
(1/sin20) = (c/sin(180-40-20))
c = 2.53208888624 units.
d² = 2(2.53208888624)²-2(2.53208888624)cos40
d = √(3) units.
d = 1.73205080757 units.
e² = 1.73205080757²+0.87938524157²-2*1.73205080757*0.87938524157cos50
e = 1.34729635533 units.
(1.34729635533/sin50) = (√(3)/sinf)
f = 80°
Where f is the required angle.
