Mathematics Question and Solution
Calculating angle x.
Let the base of the ascribed quadrilateral be 1 unit.
a = 180-20-60-50
a = 50°
(1/sin50) = (b/sin80)
b = 1.28557521937 units.
(1/sin40) = (c/sin60)
c = 1.34729635533 units.
d = 180-60-40-50
d = 30°
e² = 1.28557521937²+1.34729635533²-2*1.28557521937*1.34729635533cos30
e = 0.68404028665 units.
Therefore, the required angle x is;
(1/sinx) = (0.68404028665/sin20)
sinx = sin20/0.68404028665
x = 30°
