Chapter 6.5, Problem 3CE

To determine

To name: the theorem that supports the deduction.

Answer to Problem 3CE

Side-Angle-Side inequality,

Explanation of Solution

Given information:

Given figure,

  $m\angle 1>m\angle 2$

Calculation:

Consider the following data:

  $\overline{TV}\cong \overline{TV}$

And,

  $\overline{RV}\cong \overline{VS}$

Also $m\angle 1>m\angle 2$

Then applying side-angle-side inequality,

Therefore, it is concluded that,

  $\overline{TR}>\overline{TS}$ .