Question

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

Answer 1

Answer:

$\huge\boxed{C}$

Step-by-step explanation:

Hi there!

A) $m\angle11, m\angle7$

B) $m\angle1, m\angle3$

C) $m\angle6, m\angle2$

D) $m\angle3, m\angle6$

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 $m\angle11$ and $m\angle7$ 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 $m\angle1$ and $m\angle3$ 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 $m\angle6$ and $m\angle2$ equal?

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

Are $m\angle3$ and $m\angle6$ equal?

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

The correct answer is:

$\huge\boxed{C}$

Hope this helps :)

Let me know if you have any questions!

Answer 2

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 :)