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question 20 if line segments a and b are parallel, which of the followi…

Question

question 20 if line segments a and b are parallel, which of the following pairs of angles are not equal? o∠3 and ∠6 o∠11 and ∠7 o∠1 and ∠3 o∠6 and ∠2

Explanation:

Step1: Recall parallel - line angle rules

When two lines are parallel, vertical angles are equal, corresponding angles are equal, and alternate - interior angles are equal.

Step2: Analyze each option

  • $\angle3$ and $\angle6$ are vertical angles, so $\angle3=\angle6$.
  • $\angle11$ and $\angle7$ are alternate - interior angles, so $\angle11 = \angle7$.
  • $\angle1$ and $\angle3$ are corresponding angles, so $\angle1=\angle3$.
  • $\angle6$ and $\angle2$ have no such equality relationship.

Answer:

$\angle6$ and $\angle2$