GIVEN:
We are given the following details for congruent angles;
[tex]\begin{gathered} \angle ABC\cong\angle XYZ \\ \\ And \\ \\ \angle XYZ\cong\angle PQR \\ \\ Then;\text{ }\angle ABC\cong\angle PQR \end{gathered}[/tex]Required;
To identify the statement that correctly represents the property of congruence.
Step-by-step solution;
For the given angles, we know that the first pair of angles (angles ABC and XYZ) are both congruent to the third angle (angle PQR).
Applying the transitive property of angle congruence, we know that;
"If one pair of angles are congruent to a third angle, then the first angle is congruent to the third angle."
Therefore,
ANSWER:
The statement illustrates the transitive property of angle congruence.