Mathematics Question and Solution
Let CE be 1 unit.
Observing Sum of Interior Angles of a Triangle.
a = 180-64-10
a = 106°
a is angle CED.
Observing Sine Rule.
(1/sin10) = (b/sin106)
b = 5.5356854811 units.
b is DE.
Observing Sum of Interior Angles of a Triangle.
c = 180-50+38
c = 92°
c is angle BEC.
Observing Sine Rule.
(1/sin38) = (d/sin50)
d = 1.2442624296 units.
d is BE.
Observing Sum of Interior Angles of a Triangle.
e = 180-86-24
e = 70°
e is angle AEB.
Observing Sine Rule.
(1.2442624296/sin24) = (f/sin86)
f = 3.0516834172 units.
f is AE.
Observing Sum of Angles at a Point.
g = 360-c-a-e
g = 360-92-106-70
g = 360-268
g = 92°
g is angle AED.
Observing Cosine Rule.
h² = 3.0516834172²+5.5356854811²-2*3.0516834172*5.5356854811cos92
h = 6.4137127281 units.
h is AD.
It implies, the required angle, x is;
Observing Sine Rule.
(6.4137127281/sin92) = (5.5356854811/sinx)
x = 59.6070338069°
x ≈ 60° to the nearest whole number.
x is angle EAD
