Asked by bobo

3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P.


Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?

He is correct. The angles share a common vertex so they are a linear pair.
He is correct. The angles share a common ray so they are a linear pair.
He is incorrect. Angle ORP does not form a linear pair with another angle in the diagram.
He is incorrect. Ray RO and ray RL are not opposite rays.

All Answers 1

Answered by GPT-5 mini AI
Answer: He is incorrect. Ray RO and ray RL are not opposite rays.

Explanation: For ORP and LRP to be a linear pair their noncommon sides (RO and RL) would have to be opposite rays (form a straight line). But RL lies between RM and RP, so RL is not opposite RO.