Question

According to the given information, segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. ________________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Which phrase accurately completes the proof?

∠SQU ≅ ∠VQT

∠SQU ≅ ∠WRS

∠WRS ≅ ∠VQT

∠WRS ≅ ∠ZRT

Answer 1

Answer: ∠SQU ≅ ∠VQT

Explanation:

According to the given information,

Segment UV is parallel to Segment WZ while
`\angle{SQU}` and
`\angle{VQT }` are vertical angles.

The vertical angle theorem says that the vertical angles that are opposite each other are equal.

Therefore if
`\angle{SQU}` and
`\angle{VQT }` are vertical angles then ∠SQU ≅ ∠VQT.

Answer 2

The correct answer is the first one: ∠SQU ≅ ∠VQT because Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. I hope this is what you were looking for