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

∠RXZ and ∠YXZ.

Reason: R, X, Y lie on the same diagonal (QR), so XR and XY are opposite rays. The two angles at X that share ray XZ therefore form a linear pair (a straight line) and sum to 180°.