Question

geometry > ★ c.6 angle bisectors 68e what is uv? uv = submit work it not feeling ready yet?

Explanation:

Step1: Apply angle - bisector theorem

Since $\angle UTV=\angle STV = 51^{\circ}$, $TV$ is the angle - bisector of $\angle UTS$. Also, $VU\perp TU$ and $VS\perp TS$. According to the angle - bisector theorem, the distance from a point on an angle - bisector to the two sides of the angle is equal.

Step2: Find the length of $UV$

We know that $VS = 87$. By the angle - bisector theorem, $UV=VS$. So $UV = 87$.

Answer:

87