Mathematics Question and Solution
Let the base of ABCD be 1 unit.
a = 180-24-38-48
a = 180-110
a = 70°
b = 38+48
b = 86°
(1/sin70) = (c/sin86)
c = 1.0615854889 units.
d = 180-26-24-38
d = 180-88
d = 92°
(1/sin92) = (e/sin38)
e = 0.6160367483 units.
f² = 0.6160367483²+1.0615854889²-2*1.0615854889*0.6160367483cos26
f = 0.5752270365 units.
Let the required angle be g.
Calculating g.
(0.5752270365/sin26) = (0.6160367483/sing)
g = 28.0000000029°
It implies, g, the required angle is;
= 28°
