Respuesta :

Answer:

The answer to your question is ∠Z = 119°

Step-by-step explanation:

Data

∠W = 41°

∠Y = 81°

∠Z = ∠X = ?

Process

To solve this problem use the law that states that the sum of the internal angles in a quadrangle equals 360°.

1)

         ∠W + ∠Y∠ + ∠X + ∠Z = 360°

2.- Simplify

         ∠W + ∠Y + 2∠Z = 360

3.- Substitution

         41° + 81° + 2∠Z = 360

4.- Solve for Z

                           2∠Z = 360 - 41 - 81

                           2∠Z = 238

                              ∠Z = 238/2

                             ∠Z = 119°