Chapter 6, Problem 1CR

To determine

To complete: the given statement using $<,=\text{ or }>$ .

Explanation of Solution

Given information:

The given figure is as follows:

  

The given statement is “ $m\angle 1\underset{\_}{}m\angle 5$ .”

Concept used:

The exterior angle theorem : The exterior angle of the triangle is equal to the sum

of the two interior angles.

Calculation:

Use the exterior angle theorem

  $\begin{array}{l}\angle 1=\angle 5+\angle 4\\ \Rightarrow \angle 1>\angle 5\end{array}$

Hence, $m\angle 1\underset{\_}{\text{ > }}m\angle 5$