Mathematics Question and Solution
Calculating angle x.
Let the base of the quadrilateral be 1 unit.
a = 180-64+86
a = 30°
(1/sin86) = (b/sin64)
b = 0.9009888098 units.
(c/sin30) = (1/sin86)
c = 0.501220949 units.
d = 180-8-84
d = 180-92
d = 88°
(0.501220949/sin88) = (e/sin84)
e = 0.4987790509 units.
f² = 0.4987790509²+0.9009888098²-2*0.4987790509*0.9009888098cos94
f = 1.0598385285 units.
(1.0598385285/sin94) = (0.9009888098/sing)
g = 58°
h = 180-8-58
h = 180-66
h = 114°
It implies, the required angle x, is;
x = 180-h
x = 180-114
x = 66°
