Question

look at this diagram:
if \\( \overleftrightarrow { c e } \\) and \\( \overleftrightarrow { f h } \\) are parallel lines and \\( m \angle h g d = 46 ^ { \circ } \\), what is \\( m \angle e d b \\)?
\\( \square ^ { \circ } \\)

Explanation:

Step1: Use the property of vertical angles

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

Step2: Determine the measure of \(\angle EDB\)

Given \(m\angle HGD = 46^{\circ}\), so \(m\angle EDB=m\angle HGD\)

Answer:

\(46\)