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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…

Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle fgi = 119.5^{circ}$, what is $mangle hgd$?

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle FGI$ and $\angle HGD$ are vertical angles.

Step2: Apply vertical - angle property

Since vertical angles are congruent, if $m\angle FGI = 119.5^{\circ}$, then $m\angle HGD=m\angle FGI$.

Answer:

$119.5$