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df and gi are parallel lines. which angles are alternate interior angle…

Question

df and gi are parallel lines. which angles are alternate interior angles? ∠ihe and ∠deh ∠ihe and ∠ihj ∠ihe and ∠ghe ∠ihe and ∠ghj your answer: ∠ihe and ∠deh ∠ihe and ∠ghj ∠ihe and ∠ghe ∠ihe and ∠ihj

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Identify parallel lines and transversal

The parallel lines are $\overleftrightarrow{DF}$ and $\overleftrightarrow{GI}$, and the transversal is $\overleftrightarrow{JC}$.

Step3: Locate the alternate - interior angles

$\angle IHE$ and $\angle DEH$ are non - adjacent angles between the parallel lines $\overleftrightarrow{DF}$ and $\overleftrightarrow{GI}$ and on opposite sides of the transversal $\overleftrightarrow{JC}$.

Answer:

$\angle IHE$ and $\angle DEH$