Question

look at this diagram:
if \\( \overleftrightarrow { c e } \\) and \\( \overleftrightarrow { f h } \\) are parallel lines and \\( m \angle h g d = 40 ^ { \circ } \\), what is \\( m \angle f g i \\)?
\\( \square ^ { \circ } \\)

Explanation:

Step1: Identify vertical angles

Since \(\angle HGD\) and \(\angle FGI\) are vertical angles.
Vertical angles are equal.

Step2: Use the property of vertical angles

Given \(m\angle HGD = 40^{\circ}\).
By the vertical - angles theorem, \(m\angle FGI=m\angle HGD\).

Answer:

\(40\)