Question

Use the true statement and the given information to draw a true conclusion. True statement: A linear pair of angles has non-common sides that are collinear. Given: ∠PQR and ∠RQT form a linear pair.

Answer 1

The non-common sides of angles ∠PQR and ∠RQT are collinear.

Based on the given information, we can draw the following conclusion: The non-common sides of angles ∠PQR and ∠RQT are collinear.

A linear pair of angles is formed when two adjacent angles are supplementary (their measures add up to 180 degrees) and have a common side. In this case, since ∠PQR and ∠RQT form a linear pair, it means that their non-common sides (PQ and QT) are collinear, which means they lie on the same line.