Step-by-step explanation:
Angle alpha is 16° greater than the angle beta:
α = β + 16°Angle gamma is 52° smaller than the beta:
γ = β - 52Sum of angles is 180°, substitute α and β:
α + β + γ = 180°β + 16° + β + β - 52° = 180°3β - 36° = 180°3β = 216°β = 216°/3β = 72°Then
α = 72° + 16° = 88°γ = 72° - 52° = 20°