Mathematics Question and Solution
Calculating Angle x.
Let 1 unit be the side length of the ascribed square.
a = 90-70
a = 20°
b = 90-20-45
b = 25°
c = 90-25
c = 65°
sin70 = 1/d
d = 1.06417777248 units.
tan20 = e/1
e = 0.36397023427 units.
f = 1-e
f = 0.63602976573 units.
tan65 = 1/g
g = 0.46630765815 units.
h = 1-g
h = 0.53369234185 units.
j² = f²+h²
j² = 0.63602976573²+0.53369234185²
j = 0.83027789242 units.
Therefore, Angle x is;
(0.83027789242/sin45) = (1.06417777248/sinx)
x = asin(0.90630778704)
x = 65°
