Geometry Practice Test 6

AB || CD
Construct a line ML || AB ||CD

∠DYO = ∠YOM = 35°
∠AXO = ∠XOL = 125° (alternative opposite angles)
Also ∠XOM+∠XOL = 180° (Linear pair)
∠XOM = 180° - 125°
∠XOM = 55°
∠XOM + ∠MOY = ∠XOY
∠XOY = 55° + 35° = 90°