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name two pairs of alternate exterior angles. a. ∠4 and ∠7 ∠10 and ∠13 b…

Question

name two pairs of alternate exterior angles.
a. ∠4 and ∠7
∠10 and ∠13
b. ∠4 and ∠15
∠3 and ∠16
c. ∠4 and ∠16
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Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

  • Option A: \(\angle4\) and \(\angle7\) are alternate interior angles (not exterior). \(\angle10\) and \(\angle13\) are also alternate interior angles.
  • Option B: \(\angle4\) and \(\angle15\) are non - adjacent exterior angles and lie on opposite sides of the transversal. \(\angle3\) and \(\angle16\) are non - adjacent exterior angles and lie on opposite sides of the transversal.
  • Option C: \(\angle4\) and \(\angle16\) are not alternate exterior angles.

Answer:

B. \(\angle4\) and \(\angle15\), \(\angle3\) and \(\angle16\)