Mathematics Question and Solution
Calculating angle x.
Let the two congruent lengths be 1 unit each.
a = 180-20-80
a = 80°
Let y be the black length at the base of the ascribed triangle.
b = (y+1) units.
Calculating y.
(1/sin20) = ((y+1)/sin80)
y+1 = sin80/sin20
y+1 = 2.87938524157
y = 1.87938524157 units.
c² = 1+1.87938524157²-2*1*1.87938524157cos80
c = 1.96961550602 units.
It implies;
(1.96961550602/sin80) = (1.87938524157/sind)
sind = 0.93969262079
d = asin(0.93969262079)
d = 70°
Therefore, the required angle x is;
x+d = a
x = 80-70
x = 10°
