Mathematics Question and Solution
Let the big square side length be 1 unit.
tan15 = a/1
a = 0.26794919243 units.
b = 1-0.26794919243
b = 0.73205080757 units.
sin75 = c/0.73205080757
c = 0.70710678119 units.
c is the side length of the small square.
cos75 = d/0.73205080757
d = 0.18946869098 units.
cos15 = 1/e
e = 1.03527618041 units.
f = 1.03527618041+0.18946869098+0.70710678119
f = 1.93185165258 units.
g² = 2*0.70710678119²
g = 1 unit.
h = 90+45+15
h = 150°
j² = 2-2cos150
j = 1.93185165258 units.
Calculating angle x.
(1/sinx) = (1.93185165258/sin75)
x = 30°
