Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
9th January, 2026

Calculating Alpha, let it be x.


Let the equal lengths be 1 unit each.


a = 180-30-40

a= 110°


(1/sin30) = (b/sin40)

b = 2sin40

b = 1.28557521937 units.


c² = 1.28557521937²+1²-2*1.28557521937*1cos30

c = 0.65270364466 units.


Calculating x, Alpha.


(0.65270364466/sin30) = (1/sinx)

sinx = sin30/0.65270364466

x = asin(0.5/0.65270364466)

x = 50°

Again, x is Alpha.

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