For Review Exercise 44, see the figure that follows Review Exercise 45,
Given: 

Prove: 

To find:
The twocolumn proof for
Given:
The given figure is,
Figure
Definition:
If the measure of two angles is equal then the angles are known as congruent angles.
The pair of nonadjacent angles in the opposite direction that lie on two intersecting straight lines is called vertical angles.
Approach:
The reasons for given statements is explained in table below.
Statements  Reasons 
1. 
1. Given 
2. An 
2. Given 
3. 
3. The vertical angles are congruent. 
4. 
4. According to Transitive Property, if 
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