Question

Which pair of angles is supplementary?

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

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.

Answer 1

I can’t determine the correct pair from only the text description — the answer depends on exactly where the points X, Y, Z, P, Q, R, S, T, U, W lie in the picture. Could you either upload the diagram or tell me which points lie on which lines (for example: which of X, Y, Z are on the top line PS or the bottom line WT, and which are intersections of the diagonals VR and QR)?

If you want to check it yourself: two angles are supplementary when they form a straight line (a linear pair) or when they are interior angles on the same side of a transversal cutting two parallel lines. So look for a pair where one angle is formed with the top horizontal line and the other is formed with the bottom horizontal line by the same transversal on the same side — those two will add to 180°. If you send the diagram I’ll pick the correct option.