Question

look at this diagram:
if \\(\overleftrightarrow{hj}\\) and \\(\overleftrightarrow{km}\\) are parallel lines and \\(m\angle kln = 124^\circ\\), what is \\(m\angle hig\\)?

Explanation:

Step1: Find supplementary angle of ∠KLN

$\angle KLG = 180^\circ - 124^\circ = 56^\circ$

Step2: Identify corresponding angles

Since $\overleftrightarrow{HJ} \parallel \overleftrightarrow{KM}$, $\angle HIG = \angle KLG$

Answer:

$56^\circ$