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fieryanswererft

Answer:

∠a = 50°

∠b = 130°

∠c = 130°

Explanation:

Following Vertical Angles Theorem:

  • ∠(2a - 50)  =  ∠a
  • 2a - 50 = a
  • 2a - a = 50
  • a = 50

A straight line has 180° angle measure, ∠c and ∠a lies on a straight line

  • ∠c + ∠a = 180°
  • ∠c + 50° = 180°
  • ∠c = 180° - 50°
  • ∠c = 130°

Also, following vertical angle theorem:

  • ∠b = ∠c
  • ∠b = 130°

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