Asked by DD
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
He is incorrect. Ray RO and ray RL are not opposite rays.
A linear pair requires the two angles to be adjacent and their noncommon sides to be opposite rays (forming a straight line). Here RL lies between RM and RP, so RL is not the opposite ray of RO. (Angle ORP would form a linear pair with angle MRP, not with LRP.)
A linear pair requires the two angles to be adjacent and their noncommon sides to be opposite rays (forming a straight line). Here RL lies between RM and RP, so RL is not the opposite ray of RO. (Angle ORP would form a linear pair with angle MRP, not with LRP.)
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