Question

$overrightarrow{su}$ and $overrightarrow{vx}$ are parallel lines.
which angles are alternate exterior angles?
$angle xwt$ and $angle utw$
$angle str$ and $angle vwy$
$angle utw$ and $angle xwy$
$angle xwy$ and $angle str$

Explanation:

Alternate exterior angles are angles that lie outside the two parallel lines, on opposite sides of the transversal.

1. For $\angle XWY$ and $\angle STR$:

• $\angle STR$ is above line $\overleftrightarrow{SU}$ and left of transversal $\overleftrightarrow{RY}$
• $\angle XWY$ is below line $\overleftrightarrow{VX}$ and right of transversal $\overleftrightarrow{RY}$
• Both are outside the parallel lines, on opposite sides of the transversal, fitting the definition.

1. Eliminate other options:

• $\angle XWT$ and $\angle UTW$: interior angles
• $\angle STR$ and $\angle VWY$: same-side exterior angles
• $\angle UTW$ and $\angle XWY$: one interior, one exterior

Answer:

$\angle XWY$ and $\angle STR$