Chapter 6, Problem 2CR

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 “ $m\angle 1\underset{\_}{\text{ > }}m\angle 2$ ”.

Calculation:

The vertical angles are pair of opposite angles formed by two intersecting lines.

When two lines are intersecting, the vertical angles are congruent.

Thus,

  $\begin{array}{l}m\angle 1=m\angle 2+m\angle 3\\ \Rightarrow m\angle 1>m\angle 2\end{array}$

Hence, $m\angle 1\underset{\_}{\text{ > }}m\angle 2$