Statement
8. \( \angle A B C \) is congruent to \( <W B X \)
Reason
9. Triangle \( A B C \) is similar to triangle
8. Reflexive Property
WBX
9. SAS Similarity Postulate
10. \( \frac{\overline{\mathrm{AB}}}{\overline{\mathrm{BW}}}=\frac{\overline{\mathrm{BC}}}{\overline{\mathrm{CX}}}=\frac{\overline{\mathrm{AC}}}{\overline{\mathrm{WX}}} \)
10. Corresponding sides of similar triangles are similar and proportional
11. \( \frac{\overline{A C}}{\overline{w x}}=2 \)
11. Transitive Property
12. Multiplication Property of equality
12. \( \overline{\mathrm{AC}}=2 \overline{\mathrm{WX}} \)
13. Division Property of Equality
\( \frac{13.1}{2}(\overline{A C})=\overline{W X} \)