Final answer:
The provided formula, which relates the area of a geometric figure with the sum of its angles, is not accurate for the area of a triangle or a loop, as angles in a triangle always sum to π radians, and the area is not solely determined by the angles.
Step-by-step explanation:
The student is asking to verify the validity of the formula area (Δαβγ) = π - (α + β + γ) when two or more of the angles α, β, γ are greater than π. Unfortunately, there seems to be a misunderstanding in the question because this formula does not represent the area of a triangle or any geometric loop.
In a triangle, the sum of the angles is always π radians (180 degrees) and the area is calculated using various formulae depending on the given parameters, like base and height, three sides, two sides and the included angle, etc. The area of a loop could involve integrals and is not commonly expressed by the angles alone.
However, the formula provided may be part of a different context or a misunderstanding of a known formula. If this is related to some advanced geometric or physical concept beyond standard secondary education, the question might require clarification or additional context.