Question

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,

Answer 1

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`.