Question

PQ and RS are two lines that intersect at point T.



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.

Answer 1

Well, they are vertical angles, so they're obviously equal.
But that's not a choice.

If you say that angle PTR and angle PTS are supplementary angles and then say that angle STQ and PTS are supplementary angles, then they are both supplementary angles with PTS and since angle PTS = angle PTS, angle PTR and angle STQ have to be equal.

Answer 2

choice 2?

Answer 3

Yes. They are supplementary.

Answer 4

yeah, choice 2.

Answer 5

thank you!

Answer 6

np (: