Questions: G I and J are parallel lines. Which angles are alternate interior angles? - triangle J K H and angle L K H - angle G H K and angle L K H - angle L K M and angle I H K - angle I H F and angle J K H

G I and J are parallel lines.

Which angles are alternate interior angles?
- triangle J K H and angle L K H
- angle G H K and angle L K H
- angle L K M and angle I H K
- angle I H F and angle J K H

Transcript text: $\overleftrightarrow{G I}$ and $\overleftrightarrow{J}$ are parallel lines. Which angles are alternate interior angles? $\triangle J K H$ and $\angle L K H$ $\angle G H K$ and $\angle L K H$ $\angle L K M$ and $\angle I H K$ $\angle I H F$ and $\angle J K H$

Solution

Solution Steps

Step 1: Define alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. They are non-adjacent angles located on opposite sides of the transversal and between the two parallel lines.

Step 2: Identify the parallel lines and the transversal

The parallel lines are $\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$. The transversal is $\overleftrightarrow{FM}$.

Step 3: Identify the alternate interior angles

The pairs of alternate interior angles are: