Question

look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle fec = 64^{circ}$, what is $mangle ihe$?

Explanation:

Step1: Identify angle - relationship

$\angle FEC$ and $\angle IHE$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $DF$ and $GI$ cut by transversal $JC$, corresponding angles are equal. So $m\angle IHE=m\angle FEC$.

Answer:

$64$