Question

look at this diagram:
if \\( \overleftrightarrow{ac} \\) and \\( \overleftrightarrow{eg} \\) are parallel lines and \\( m\angle hik = 61^\circ \\), what is \\( m\angle dhf \\)?
\\( \square ^\circ \\)

Explanation:

Step1: Identify angle relationship

$\overleftrightarrow{HJ}$ and $\overleftrightarrow{EG}$ are parallel, cut by transversal $\overleftrightarrow{KD}$. $\angle HIK$ and $\angle HFE$ are corresponding angles.

Step2: Apply corresponding angles postulate

Corresponding angles of parallel lines are congruent, so $m\angle HFE = m\angle HIK$.
<Expression>$m\angle HFE = 61^\circ$</Expression>

Answer:

$61^\circ$