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α excede en 10° al complemento de β
α + 10° = 90° - β
α + β = 80°
α = 80° - β
β es igual a la mitad del suplemento de α
β = (1/2)(180° - α)
β = (180° - α)/2
2β = 180° - α
2β = 180° - 80° + β
β = 100°
α = - 20°
No puede existir un angulo negativo el problema esta mal planteado.