Inee08
Answered

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 :

mhanifa

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°

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