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use the diagram to find the following. identify a pair of alternate ext…

Question

use the diagram to find the following.
identify a pair of alternate exterior angles.
∠1 and ∠8
∠2 and ∠5
∠8 and ∠4
∠1 and ∠5

Explanation:

Brief Explanations
  • Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.
  • For \(\angle2\) and \(\angle5\):
  • They are non - adjacent.
  • \(\angle2\) is above line \(a\) and \(\angle5\) is below line \(b\) (outside the two lines \(a\) and \(b\)).
  • They are on opposite sides of the transversal \(h\).
  • For \(\angle1\) and \(\angle8\): They are vertical angles.
  • For \(\angle8\) and \(\angle4\): They are alternate interior angles.
  • For \(\angle1\) and \(\angle5\): They are not in the correct position for alternate exterior angles.

Answer:

\(\angle2\) and \(\angle5\)