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which angles form a linear pair? ∠prl and ∠lrm ∠orp and ∠mrn ∠mrn and ∠…

Question

which angles form a linear pair?
∠prl and ∠lrm
∠orp and ∠mrn
∠mrn and ∠nro
∠lrp and ∠orp

Explanation:

Step1: Recall the definition of a linear pair

A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays.

Step2: Analyze each option

  • For \(\angle PRL\) and \(\angle LRM\): Their non - common sides are not opposite rays.
  • For \(\angle ORP\) and \(\angle MRN\): They are not adjacent angles.
  • For \(\angle MRN\) and \(\angle NRO\): They are adjacent angles and their non - common sides (\(RM\) and \(RO\)) are opposite rays.
  • For \(\angle LRP\) and \(\angle ORP\): Their non - common sides are not opposite rays.

Answer:

\(\angle MRN\) and \(\angle NRO\)