Question

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, alternate - interior angles are equal, corresponding angles are equal, and vertical angles are equal.

Step2: Analyze each option

• $\angle3$ and $\angle6$ are alternate - interior angles, so they are equal.
• $\angle11$ and $\angle7$ are alternate - interior angles, so they are equal.
• $\angle1$ and $\angle3$ are corresponding angles, so they are equal.
• $\angle6$ and $\angle2$ are not equal.

Answer:

$\angle6$ and $\angle2$