Respuesta :

9514 1404 393

Answer:

  m∠c = 52°

Step-by-step explanation:

Corresponding angles are congruent:

  13x +11° = 15x -7° . . . . . the corresponding angles have equal measures

  18° = 2x . . . . . . . . . . . . add 7° -13x to both sides

  9° = x . . . . . . . . . . divide by 2

Now, we can find c. It is supplementary to the corresponding angles.

  c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x

  m∠c = 52°

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