Mathematics Question and Solution
Calculating angle x.
Let the longest ascribed quadrilateral side length be 1 unit.
a = = 180-25-2(35)
a = 180-95
a= 85°
(1/sin85) = (b/sin25)
b = 0.42423259484 units.
c = 180-35-2(25)
c = 180-85
c = 95°
(1/sin95) = (d/sin50)
d = 0.76897060844 units.
e² = 0.76897060844²+0.42423259484²-2*0.42423259484*0.76897060844cos35
e = 0.48665963987 units.
It implies;
(0.48665963987/sin35) = (0.76897060844/sinf)
f = asin(0.90630778704)
f = 65°
g = 180-f
g = 180-65
g = 115°
Therefore, the required angle x is;
x = g-a
x = 115-85
x = 30°
