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!
