Respuesta :

sqdancefan

9514 1404 393

Answer:

  • x = 59°
  • y = 40°
  • z = 81°

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

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Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

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Alternate interior angles are congruent, so ...

  y° = 40°