Question

The Question Is:
Use the figure. Assume that lines JL and MP are parallel.
Name a pair of alternate interior angles.
A. ∠3 and ∠4
B. ∠1 and ∠6
C. ∠3 and ∠6
D. ∠5 and ∠6
I don't understand what I'm supposed to do or how to do it. Could somebody please help me understand?

Answer 1

Answer:

C)  ∠3 and ∠6  is the CORRECT OPTION.

Step-by-step explanation:

Here, the image is UNATTACHED. Attaching image here for the reference.

Given: JL and MP are parallel.

Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.

As JL and MP are parallel.

and KN is a traversal. So, the pair of Alternate Interior angles  so formed are:

a)   ∠3 and ∠6

b)   ∠4 and ∠5

Now, out of the given options:

A.  ∠3 and ∠4  is a LINEAR PAIR

B.  ∠1 and ∠6  makes no pair

C. ∠3 and ∠ 6  is a Alternate Interior angles pair

D.  ∠5 and ∠6 LINEAR PAIR

Hence, ∠3 and ∠ 6  is a Alternate Interior angles pair.