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s1 week 8 vocab quiz identify a pair of vertical angles in the figure b…

Question

s1 week 8 vocab quiz
identify a pair of vertical angles in the figure below.
$angle 3$ and $angle 5$
$angle 3$ and $angle 8$
$angle 3$ and $angle 2$
$angle 3$ and $angle 4$

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other.

Step2: Analyze each option

  • For $\angle3$ and $\angle5$: They are adjacent angles (share a common side), so they are not vertical angles.
  • For $\angle3$ and $\angle8$: They are not formed by the intersection of the same two lines in a vertical - angle relationship.
  • For $\angle3$ and $\angle2$: They are not formed by the intersection of the same two lines in a vertical - angle relationship.
  • For $\angle3$ and $\angle4$: They are non - adjacent angles formed by the intersection of two lines.

Answer:

$\angle3$ and $\angle4$