Choose all that correctly computes the unknown angle.
A ∠W = 59°∠W = 59°
B ∠X = 139°∠X = 139°
C ∠Y = 31°∠Y = 31°
D ∠Z = 90°
The only statement that correctly computes the unknown angle is D.
∠Z = 90°.
how did you know?
To determine the unknown angle, we must consider the properties of angles in a quadrilateral. The sum of the angles in a quadrilateral is always equal to 360 degrees.
Given:
∠W = 59°
∠X = 139°
∠Y = 31°
To find ∠Z:
Sum of angles in a quadrilateral = 360°
59° + 139° + 31° + ∠Z = 360°
229° + ∠Z = 360°
∠Z = 360° - 229°
∠Z = 131°
Therefore, the correct computation for the unknown angle is:
∠Z = 131°.
I apologize for the oversight in the initial response. The correct answer is that none of the provided options correctly compute the unknown angle.