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1 vote
Which angles form a linear pair?

A) O ZPRL and XLRM
B) O ZORP and MRN
C) O ZMRN and ZNRO
D) O ZLRP and CORP

1 Answer

5 votes

Final answer:

Angles that form a linear pair are adjacent and their non-common sides form a straight line, summing up to 180°. While Option D seems to describe such angles, without clear context or a diagram, this cannot be stated with certainty.

Step-by-step explanation:

To determine which angles form a linear pair, we need to understand that a linear pair of angles are two adjacent angles whose non-common sides form a straight line. This means that the sum of the angles in a linear pair is 180°.

Among the options given:

  • Option A describes two angles O∩PRL and X∩LRM without mentioning their relationship, so we cannot confirm they form a linear pair.
  • Option B describes angles O∩ORP and M∩RN which are not adjacent angles, thus not a linear pair.
  • Option C mentions angles O∩MRN and ∩NRO which are opposite angles and therefore do not form a linear pair.
  • Option D mentions angles O∩LRP and C∩ORP; these are adjacent angles, and if their non-common sides form a straight line they would sum up to 180°, making them a linear pair.

Based on the given information, without clear context, we can make an educated guess that the correct answer could be Option D, O∩LRP and C∩ORP, assuming that they are adjacent and their non-common sides form a straight line. However, without a diagram or additional context, this cannot be stated with certainty.

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