Let the side length of the regular octagon be 1 unit.
a = ⅛*180(8-2)
a = 135°
a is the side length of the regular octagon.
2b² = 1²
b = √(1/2) units.
b = ½√(2) units.
c = 1+b
c = (1+½√(2)) units.
c is the side length of the square.
Therefore, alpha, let it be d, is;
tand = b/c
d = atan(½√(2)/(1+½√(2)))
d = 22.5°
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