PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent. Which statement is used to prove that angle PTR is always equal to angle STQ? Lines PQ and RS do not have a fixed length. Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.

Question
Answer:
The logic is a bit circuitous/confusing but the best answer is:
"Angle PTR and angle PTS are supplementary angles.".

This means that PQ and RS are straight lines, and that their angles follow the properties or supplementary angles, and opposite angles. 

This implies the more relevant detail that PTR and STQ are opposite angles, and opposite angles are always equal. 
solved
general 10 months ago 9461