Mathematics Question and Solution
Let the side length of the square be 1 unit.
Calculating angle x.
a = 180-60-70
a = 50°
(1/sin50) = (b/sin60)
b = 1.1305158748 units.
c² = 2(1)²
c = √(2) units.
c is the diagonal of the square.
d = ½(c)
d = 0.5√(2) units.
e = 180-20-45
e = 115°
(1/sin115) = (f/sin45)
f = 0.7802060087 units.
g = b-f
g = 0.3503098661 units.
(1/sin115) = (h/sin20)
h = 0.377377474 units.
j = d-h
j = 0.3297293072 units.
k² = 0.3297293072²+0.3503098661²-2*0.3297293072*0.3503098661cos114
k = 0.573645811 units.
Therefore, the required angle, x is;
(0.573645811/sin115) = (0.3503098661/sinx)
x = 33.604534777°
