Question

look at this diagram:
if \\( \overleftrightarrow { d f } \\) and \\( \overleftrightarrow { g i } \\) are parallel lines and \\( m \angle d e h = 124 ^ { \circ } \\), what is \\( m \angle i h j \\)?

Explanation:

Step1: Identify supplementary angle

$\angle DEH + \angle HEF = 180^\circ$
$124^\circ + \angle HEF = 180^\circ$
$\angle HEF = 180^\circ - 124^\circ = 56^\circ$

Step2: Use corresponding angles

Since $DF \parallel GI$, $\angle HEF = \angle IHJ$ (corresponding angles)
$\angle IHJ = 56^\circ$

Answer:

56