Answer:
The answer to your question is: 85°
Step-by-step explanation:
Data
m∠ xyz = 2m∠x - 9
m∠w = 38°
Process
∠x = (∠xyz + 9) / 2
∠ y = 180 - ∠xyz
∠w + ∠y + ∠x = 180
Substitution 38 + (180 - ∠xyz) + (∠xyz + 9) / 2 = 180
76 + 360 - 2∠xyz + ∠xyz + 9 = 360
Simplify
85 - 2∠xyz + ∠xyz = 0
85 = ∠ xyz