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The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT given the information in the figure where segment UV is parallel to segment WZ.:

User APugLife
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2 Answers

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I have found a graph for this problem and it showed that segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. According to the Vertical Angles Theorem, 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. So the answer is ∠ SQU ≅∠ VQT.
User Sharone
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For the problem presented, the phrase that accurately completes the proof for the given argument is ∠ SQU ≅∠ VQT. I am hoping that this answer has satisfied your query about this specific question, thank you and have a nice day.

User Kavehmb
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