Mathematics Question and Solution
Calculating x.
Let the base of the ascribed triangle be 1 unit.
a = 180-15-45
a = 120°
(1/sin120) = (b/sin15)
b = 0.2988584907 units.
c = 180-15-30
c = 135°
(0.2988584907/sin15) = (d/sin135)
d = 0.8164965809 units.
e = ½(d)
e = 0.4082482905 units.
f² = 0.4082482905²+0.2988584907²-2*0.4082482905*0.2988584907cos30
f = 0.2113248654 units.
(0.2113248654/sin30) = (0.2988584907/sing)
g = 45°
Therefore, angle x is;
x = 180-30-45-45
x = 180-120
x = 60°
