Question

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.
Which pair of angles is supplementary?

∠RXZ and ∠YXZ
∠PXQ and ∠RXS
∠YZX and ∠UZT
∠WZX and ∠XYZ

Answer 1

∠WZX and ∠XYZ.

Reason: PS ∥ WT and ZX is a transversal, so the interior angles on the same side of the transversal (∠WZX at Z and ∠XYZ at Y/X) are consecutive interior angles and sum to 180°.