Chapter 6.5, Problem 9WE

To determine

To complete: the given statement by writing <, $=$ , Or >.

Answer to Problem 9WE

  $m\angle 1>m\angle 2$ .

Explanation of Solution

Given information:

Given figure,

  $m\angle 1--m\angle 2$

Calculation:

Consider the following diagram:

Consider the following data:

  $\overline{BC}\cong \overline{AC}$

And,

  $\overline{CD}\cong \overline{CD}$

Also, $\angle BCD>\angle ACD$

Then applying Side-Angle-Side Inequality,

  $\overline{BD}>\overline{AD}$

Therefore, it is concluded that $m\angle 1>m\angle 2$ .