Question

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

Answer 1

∠BXY = 150

∠BXZ = 30

∠AXZ = 150

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°