Respuesta :

9514 1404 393

Answer:

  • x = 5
  • y = 30
  • z = 8

Step-by-step explanation:

The rhombus has several relevant properties.

  • The sides are all the same length
  • Diagonals are perpendicular bisectors of each other
  • Diagonals divide the rhombus into congruent triangles

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8