Question

in the diagram below, ∠t≅∠w, ∠u≅∠x. enter segments in the blanks provided that would result in a true equation.
answer attempt 2 out of 3
$\frac{su}{st}=\frac{wv}{wx}$

Explanation:

Step1: Identify similar triangles

Since $\angle T\cong\angle W$ and $\angle U\cong\angle X$, triangles $\triangle SUT$ and $\triangle WVX$ are similar by the AA (angle - angle) similarity criterion.

Step2: Use property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. Side $SU$ corresponds to side $WV$ and side $ST$ corresponds to side $WX$. So, $\frac{SU}{ST}=\frac{WV}{WX}$.

Answer:

$\frac{SU}{ST}=\frac{WV}{WX}$