Calculating angle x.
Let the two congruent lengths be 1 unit each.
a = 180-21-102
a = 57°
b = 180-102-36
b = 42°
c = 180-a-b
c = 180-57-42
c = 81°
(1/sin42) = (d/sin102)
d = 1.4618186516 units.
(1/sin21) = (e/sin102)
e = 2.72945056045 units.
It implies;
f² = d²+e²-2decos81
f² = 1.4618186516²+2.72945056045²-2*1.4618186516*2.72945056045cos81
f = 2.8876424765 units.
It implies, the required angle x is;
(2.8876424765/sin81) = (2.72945056045/sinx)
sinx = 0.9335804265
x = asin(0.9335804265)
x = 69°
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