Respuesta :

Answer:

  ∠YXZ = 58°

Step-by-step explanation:

Use the angle sum theorem and the given relations.

  ∠WXY +∠WXV = ∠YXV

  ∠WXY +(11° +3∠WXY) = 139°

  4∠WXY = 128° . . . . . subtract 11°

  ∠WXY = 32° . . . . . . . divide by 4

Similarly, ...

  ∠WXY +∠YXZ = 90°

  ∠YXZ = 90° -∠WXY = 90° -32°

  ∠YXZ = 58°