Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle gfi = 123^{circ}$, what is $mangle jif?

square^{circ}$

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Explanation:

Step1: Identify angle - relationship

$\angle GFI$ and $\angle JIF$ are alternate - interior angles. When two parallel lines ($\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$) are cut by a transversal ($\overleftrightarrow{KD}$), alternate - interior angles are congruent.

Step2: Determine the measure of $\angle JIF$

Since $\angle GFI$ and $\angle JIF$ are alternate - interior angles and $m\angle GFI = 123^{\circ}$, then $m\angle JIF=m\angle GFI$.

Answer:

$123$