Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

For the answer to the question above,

Statement - Proof

1. Angle PQS = Angle QRP - It is given that both angles are equal to 30 degrees.

2. Line segment PQ = Line segment QP - The two line segments are equal by the Reflexive Property.

3. Angle PSQ = Angle RQP - If we let angle QPR as x, then angle PSQ = 150 - x and by Exterior Angle Theorem of Triangles, angle RQP is also 150 - x.

4. Triangle PRQ similar to Triangle PQS - SAA Similarity Theorem.