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36 votes
36 votes
Hey
can someone solve this 4 me​

Hey can someone solve this 4 me​-example-1
User MC Emperor
by
3.1k points

1 Answer

22 votes
22 votes

Answer:

∠a = 50°

∠b = 130°

∠c = 130°

Step-by-step 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°
User Nick Street
by
3.3k points
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