Question

foundations of euclidean geometry which angles form a linear pair? ∠prl and ∠lrm ∠orp and ∠mrn ∠mrn and ∠nro ∠lrp and ∠orp

Explanation:

Step1: Recall linear - pair definition

Two angles form a linear pair if they are adjacent and their non - common sides are opposite rays, and the sum of the measures of angles in a linear pair is 180 degrees.

Step2: Analyze each option

• For ∠PRL and ∠LRM: They are adjacent and their non - common sides PR and RM are opposite rays.
• For ∠ORP and ∠MRN: They are not adjacent.
• For ∠MRN and ∠NRO: They are not adjacent.
• For ∠LRP and ∠ORP: They are not adjacent.

Answer:

∠PRL and ∠LRM