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QUESTION IMAGE

marcus states that angle orp and angle lrp are a linear pair. which bes…

Question

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.

Explanation:

Brief Explanations

A linear pair requires two adjacent angles that form a straight line, meaning their non-common sides are opposite rays (creating a 180° angle). For ∠ORP and ∠LRP, their non-common rays are RO and RL, which are not opposite rays (opposite rays would form a straight line, which they do not). The other options are wrong: sharing a vertex or ray alone is not enough for a linear pair, and ∠ORP does form a linear pair with ∠ORN.

Answer:

He is incorrect. Ray RO and ray RL are not opposite rays.