Question

look at this diagram;
if \\(\overleftrightarrow{df}\\) and \\(\overleftrightarrow{gi}\\) are parallel lines and \\(m\angle ghe = 52.9^\circ\\), what is \\(m\angle ihj\\)?
\\(\square^\circ\\)

Explanation:

Step1: Identify angle relationship

$\angle GHE$ and $\angle IHJ$ are vertical angles.

Step2: Apply vertical angles theorem

Vertical angles are congruent, so $m\angle IHJ = m\angle GHE$.
<Expression>
$m\angle IHJ = 52.9^\circ$
</Expression>

Answer:

$52.9^\circ$