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 $\angle J K H$
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Solution

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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 GIundefined\overleftrightarrow{GI} and JLundefined\overleftrightarrow{JL}. The transversal is FMundefined\overleftrightarrow{FM}.

Step 3: Identify the alternate interior angles

The pairs of alternate interior angles are:

  • GHK\angle GHK and JKH\angle JKH
  • IHK\angle IHK and LKH\angle LKH

Final Answer

GHK\angle GHK and JKH\angle JKH, IHK\angle IHK and LKH\angle LKH

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