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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
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.
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$\angle6$ and $\angle2$