How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2?

Using the Law of Sines, sin Y = (y sin X)/x = (2 sin 51°)/5 ≈ 0.311, so Y is about 18°. The supplementary possibility, about 162°, cannot form a triangle with X = 51° because the two angles would already add to more than 180°. Thus exactly one triangle can be formed: one.

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