Respuesta :

Answer on= 12

Step-by-step explanation:

The value of PQ in rhombus NPQR is 76 units.

The figure above is a rhombus.

Properties of a rhombus:

  • All the sides are equal
  • opposite angles are equal
  • The diagonal are perpendicular bisector of each other.

Therefore,

PQ = NR = NP = RQ

5x + 16  = 9x - 32

5x - 9x = -32  - 16

-4x = -48

x = -48 / -4

x = 12

PQ = 5(12) + 16 = 60  + 16 = 76 units

learn more on rhombus here: https://brainly.com/question/25278931?referrer=searchResults

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