Question

and are parallel lines. which angles are corresponding angles? and and and and

Explanation:

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others. For example, if two parallel lines are cut by a transversal, the angles in the same "corner" position are corresponding.

• $\angle URY$ and $\angle XWY$: These two angles are in the same relative position (both are on the same - side of the transversal and in the "upper - right" corner relative to the parallel lines $ST$ and $UV$ and the transversal $RY$).
• $\angle URY$ and $\angle UVR$: These are not corresponding angles. $\angle UVR$ is an interior angle between the parallel line $UV$ and the transversal $RY$, while $\angle URY$ is an exterior - like angle at the intersection of line $ST$ and transversal $RY$.
• $\angle URY$ and $\angle WUV$: $\angle WUV$ is an angle formed at a different intersection (not with the transversal $RY$ in the relevant parallel - line - transversal configuration).
• $\angle WUV$ and $\angle STU$: These angles are not in the same relative position with respect to a single transversal cutting two parallel lines.

Answer:

$\angle URY$ and $\angle XWY$