Question

look at this diagram:
if \\( \overleftrightarrow { d f } \\) and \\( \overleftrightarrow { g i } \\) are parallel lines and \\( m \angle i h e = 58 ^ { \circ } \\), what is \\( m \angle g h j \\)?
\\( \square ^ { \circ } \\)

Explanation:

Step1: Recognize vertical angles

Vertical angles are equal. $\angle IHE$ and $\angle GHJ$ are vertical angles.

Step2: Determine the measure of $\angle GHJ$

Since $\angle IHE = 58^{\circ}$ and $\angle IHE=\angle GHJ$ (vertical angles), then $m\angle GHJ = 58^{\circ}$.

Answer:

$58$