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To find the measure of angle Z, we can use the property of quadrilaterals that states the sum of all interior angles is equal to 360°.
Given:
Angle W = 115°
Angle X = 90°
Angle Y = 82°
Now, let's find the measure of angle Z.
Sum of all interior angles = 360°
115° + 90° + 82° + Z = 360°
287° + Z = 360°
Z = 360° - 287°
Z = 73°
Therefore, the measure of angle Z is 73°.
Answer: 73°