Question

if (overline{hi}) is not parallel to (overline{gj}), what is (hi?)

Explanation:

Step1: Identify similar - shaped triangles

Since the two angles are equal, the triangles $\triangle GHJ$ and $\triangle HGI$ are similar.

Step2: Set up proportion

Let $HI = x$. Because of similarity, we have the proportion $\frac{HI}{GJ}=\frac{GI}{HJ}$. But we can also use the fact that if we assume the ratio of corresponding sides of similar triangles is the same. Here, we can directly see that the two - triangle relationship implies $HI = 95$.

Answer:

95