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It is given that 6 _____ Therefore, angle RXW= SYX because if two par lines are intersected by a transversal then 7 _______________

It is also given that 8 _____By the 9. ______

it can be written that -QT||WZ. Then, by the alternate interior angles theorem, it must be true that 10 _______Then, by substitution, angle TSY = angle RXW,

It is given that 6 _____ Therefore, angle RXW= SYX because if two par lines are intersected-example-1
User Yatin
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It is given that
\boxed{\overline{JK} \parallel \overline{LM}}. Therefore,
\angle RXW \cong \angle SYX because if two parallel lines are intersected by a transversal then the corresponding angles are congruent. It is also given that
\boxed{\angle LST \cong \angle XYM}. By the converse of the alternate exterior angles theorem, it can be written that
\overline{QT} \parallel \overline{WZ}. Then, by the alternate interior angles theorem, it must be true that
\boxed{\angle TSY \cong \angle SYX}. Then, by substitution,
\angle TSY \cong \angle RXW.

User Edward Romero
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