If line segments A and B are parallel, which of the following pairs of angles are not equal?

A) [tex]\angle11[/tex] and [tex]\angle7[/tex]
B) [tex]\angle1[/tex] and [tex]\angle 3[/tex]
C) [tex]\angle6[/tex] and [tex]\angle2[/tex]
D) [tex]\angle3[/tex] and [tex]\angle6[/tex]

Answer:

C: ∠6 and ∠2

Step-by-step explanation:

Step 1:

∠6 = ∠9        S.S. Int. ∠'s      (Same Side Interior ∠'s)

Step 2:

∠9 + ∠2 = 180°        Sum of line

Step 3:

∠9 ≠ ∠2

Answer:

C: ∠6 and ∠2

Hope This Helps :)

Answer:

[tex]\huge\boxed{C}[/tex]

Step-by-step explanation:

Hi there!

A) [tex]m\angle11, m\angle7[/tex]

B) [tex]m\angle1, m\angle3[/tex]

C) [tex]m\angle6, m\angle2[/tex]

D) [tex]m\angle3, m\angle6[/tex]

We need to find which pairs are not equal.

We know that lines a and b are parallel. This means that line c is a transversal, and same with line d.

Let's start with A).

Are [tex]m\angle11[/tex] and [tex]m\angle7[/tex] equal?

Yes. This is true because when c is a transversal, angles 11 and 7 are alternate interior angles, meaning they're congruent, or equal. This is not the correct nswer choice as these angles are equal.

Are [tex]m\angle1[/tex] and [tex]m\angle3[/tex] equal?

Yes. When d is a transversal, angles 1 and 3 are called corresponding angles, which are always equal. Corresponding angles have 1 angle in between them.

Are [tex]m\angle6[/tex] and [tex]m\angle2[/tex] equal?

No. There is no reason that we can use to prove that [tex]m\angle6[/tex] and [tex]m\angle2[/tex] are equal. This means that C is the correct answer.

Are [tex]m\angle3[/tex] and [tex]m\angle6[/tex] equal?

Yes. [tex]m\angle3[/tex] and [tex]m\angle6[/tex]  are called vertical angles. They share one vertice, or angle. Vertical angles are always congruent.

The correct answer is:

[tex]\huge\boxed{C}[/tex]

Hope this helps :)

Let me know if you have any questions!

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