Question

which angles are corresponding angles? image of two parallel lines (uw and rt) cut by a transversal (xq), with points u, v, w on one line; r, s, t on the other; and x, v, s, q on the transversal. options: ∠uvx and ∠tsq; ∠uvx and ∠rsq; ∠uvx and ∠uvs; ∠uvx and ∠rsv

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles lie on the same side of the transversal and the same side of the parallel lines.

Step2: Analyze the diagram

Lines UV and RT are parallel (both vertical), and line XQ is the transversal. $\angle UVX$ is at the intersection of UV and XQ, on the left side of UV and below XQ. $\angle TSQ$ is at the intersection of RT and XQ, on the left side of RT and below XQ—matching the position for corresponding angles.

Answer:

$\angle UVX$ and $\angle TSQ$