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Pls help i need tris work now pls

Pls help i need tris work now pls-example-1

1 Answer

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1.
\angle RUV \cong \angle UXZ (given)

2.
\overline{TV} \parallel \overline{WZ} (converse of corresponding angles theorem)

3.
\angle GRQ and
\angle WXH are supplementary (given)

4.
\angle UXW and
\angle WXH are supplementary (definition of a linear pair)

5.
\angle GRQ \cong \angle UXW (Congruent supplements theorem)

6.
\overline{QS} \parallel \overline{WZ} (Converse of corresponding angles theorem)

7.
\angle TUX \cong \angle GRS (Alternate exterior angles theorem)

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