List out all of the angles that are vertical and all of the angles that are adjacent. Find the missing angles measures

Answer:
∠BXY = 150
∠BXZ = 30
∠AXZ = 150
Step-by-step explanation:
∠AXY and ∠BXY are adjacent angles
∠AXY + ∠BXY = 180 {linear pair}
30 + ∠BXY = 180
∠BXY = 180 - 30 = 150
∠AXZ = ∠BXY {Vertically opposite angles}
∠AXY = 150°
∠BXZ = ∠AXY {Vertically opposite angle}
∠BXZ = 30°