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Find angles in congruent triangles


What is the value of x in the figure shown below?
Triangles A B C and B C D are shown sharing the same side B C with sides A B and C D both being four units. Sides B D and A C are both four point four units. Angle D B C is x degrees. Angle A C B is fifty-two degrees. Angle A B C is sixty-one degrees.
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4