Jamie is writing a proof of the theorem stated below.

Theorem: The sum of interior angles of a triangle is 180°.

He first drew the figure shown below.

Triangle PQR with side PR extended to point S and side PQ extended to point U. Segment QT is drawn parallel to segment PS. Angle PRQ is 1, angle RPQ is 2, angle PQR is 3, angle RQT is 1, angle TQU is 2.

Which theorem will he most likely use in the proof?
Supplements of congruent angles are congruent.

Vertical angles are congruent.

Alternate interior angles formed by parallel lines and their transversal are congruent.

If two angles of a triangle are congruent, the sides opposite these are congruent.

Question

Jamie is writing a proof of the theorem stated below.
 
Theorem: The sum of interior angles of a triangle is 180°.
 
He first drew the figure shown below.
 
Triangle PQR with side PR extended to point S and side PQ extended to point U. Segment QT is drawn parallel to segment PS. Angle PRQ is 1, angle RPQ is 2, angle PQR is 3, angle RQT is 1, angle TQU is 2.
 
Which theorem will he most likely use in the proof?
Supplements of congruent angles are congruent.

Vertical angles are congruent.

Alternate interior angles formed by parallel lines and their transversal are congruent.

If two angles of a triangle are congruent, the sides opposite these are congruent.

jhonyy9 · Answer

try drawing it for easy understanding