Chapter 6.5, Problem 1CE

To determine

To name: the theorem that supports the deduction.

Answer to Problem 1CE

Side-side-side inequality.

Explanation of Solution

Given information:

Given figure,

  

Calculation:

Consider the following data:

  $\overline{AC}\cong \overline{FD}$ and $\overline{AB}\cong \overline{DE}$

Also $\overline{BC}=15$ and $\overline{FE}=14$

From the above data it is concluded that,

  $\overline{BC}>\overline{FE}$

Then apply side-side-side inequality,

Therefore, $m\angle CAB>m\angle FDE$ .