Question

calculate the angles of a triangle if the angle alpha is 16 ° greater than the angle beta and the angle gamma is 52 ° smaller than the beta GIVING BRANLIEST***​

Answer 1

Answer:

• 88°, 72°, 20°

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 - 52

Sum 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°/3
• β = 72°

Then

• α = 72° + 16° = 88°
• γ = 72° - 52° = 20°