The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ.:Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively
According to the given information segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles Angle VQT is congruent to angle SQU by the Vertical Angles Theorem Because angles SQUandWRS are corresponding angles they are congruent according to the Corresponding Angles Postulate. Finally angle VQT is congruent to angle WRS by

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