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QUESTION IMAGE

select all the pairs of alternate exterior angles.

Question

select all the pairs of alternate exterior angles.

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate exterior angles are formed when a transversal intersects two lines. They are outside the two lines and on opposite sides of the transversal.

Step2: Analyze each pair

  • For ∠NOQ and ∠MLJ: They are outside the lines NP and KM and on opposite sides of the transversal QJ, so they are alternate - exterior angles.
  • For ∠NOQ and ∠POQ: They are not alternate - exterior angles as they share a common side OQ.
  • For ∠KLJ and ∠POL: They are outside the lines NP and KM and on opposite sides of the transversal QJ, so they are alternate - exterior angles.
  • For ∠POQ and ∠KLJ: They are outside the lines NP and KM and on opposite sides of the transversal QJ, so they are alternate - exterior angles.

Answer:

∠NOQ and ∠MLJ, ∠KLJ and ∠POL, ∠POQ and ∠KLJ