Question

look at this diagram:
if \\( \overleftrightarrow { c e } \\) and \\( \overleftrightarrow { f h } \\) are parallel lines and \\( m \angle c d g = 130 ^ { \circ } \\), what is \\( m \angle e d b \\)?

Explanation:

Step1: Use the linear - pair relationship

Since \(\angle CDG\) and \(\angle EDB\) form a linear pair (they are adjacent angles on a straight line), and the sum of angles in a linear pair is \(180^{\circ}\).
We know that \(m\angle CDG+m\angle EDB = 180^{\circ}\).

Step2: Solve for \(m\angle EDB\)

Given \(m\angle CDG = 130^{\circ}\), substitute it into the equation \(m\angle CDG+m\angle EDB=180^{\circ}\).
Then \(m\angle EDB=180^{\circ}-m\angle CDG\).
Substitute \(m\angle CDG = 130^{\circ}\) into the formula: \(m\angle EDB=180 - 130\).

Answer:

\(50\)