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°