Question

\overleftrightarrow { c e } and \overleftrightarrow { f h } are parallel lines. which angles are alternate interior angles? \angle e d g and \angle f g d \angle f g i and \angle h g d \angle e d b and \angle f g d \angle f g d and \angle h g i

Explanation:

Step1: Understand Alternate Interior Angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze Each Option

• For $\angle EDG$ and $\angle FGD$: $\angle EDG$ is not between the two parallel lines $CE$ and $FH$, so this is incorrect.
• For $\angle FGI$ and $\angle HGD$: These angles are not alternate interior angles.
• For $\angle EDB$ and $\angle FGD$: $CE\parallel FH$, $BI$ is the transversal. $\angle EDB$ and $\angle FGD$ lie between $CE$ and $FH$ and on opposite sides of transversal $BI$, so this is correct.
• For $\angle FGD$ and $\angle HGI$: These angles are not alternate interior angles.

Answer:

$\angle EDB$ and $\angle FGD$