Mathematics Question and Solution
Let the longer diagonal be 1 unit.
(1/sin150) = (a/sin18)
a = 0.61803398875 units.
b = 12°
(1/sin150) = (c/sin12)
c = 0.41582338164 units.
d = 180-84-42
d = 54°
(e/sin54) = (0.41582338164/sin42)
e = 0.50275413979 units.
f² = 0.50275413979²+0.61803398875²-2*0.61803398875*0.50275413979cos66
f = 0.61803398875 units.
(0.61803398875/sin66) = (0.50275413979/sing)
g = 48°
It implies;
The required angle, theta is;
48-b
= 48-12
= 36°
