Question

K and IN are parallel lines. Which angles are alternate exterior angles?

1. ZLMO and NM
2. ZIMO and ZKIH
3. LMO and IJM
4. v2LMO and LMJ
Submit.

Answer 1

The alternate exterior angles of K and IN are LMO and NM.option.1

Step-by-step explanation:

When two lines, K and IN, are parallel, the corresponding angles are equal. In this case, we can identify the corresponding angles as follows:

ZLMO and NM are the alternate exterior angles of K and IN, respectively.

To prove that ZLMO and NM are alternate exterior angles, we can use the fact that corresponding angles are equal. Since K and IN are parallel, we know that:

∠KLM = ∠INM (Corresponding Angles Theorem)

Now, we can use the fact that ∠KLM is an exterior angle of △KLM, and ∠INM is an exterior angle of △INM. Therefore, we can conclude that:

∠ZLMO = ∠NM (Alternate Exterior Angles Theorem)

Therefore, ZLMO and NM are the alternate exterior angles of K and IN, respectively.

Correct option is option.1