Question

in the figure below, \\( \triangle b c d \\) is drawn. the line \\( \overleftrightarrow { e b f } \\) is drawn such that \\( \overleftrightarrow { e b f } \parallel \overline { c d } \\).

\\( m \angle b c d = m \angle c b e \\) because they are alternate interior angles.

\\( m \angle c d b = \\) because they are

Explanation:

Step1: Recall the alternate - interior angles theorem

When two parallel lines are cut by a transversal, alternate - interior angles are equal. Here, \(\overleftrightarrow{EBF}\parallel\overleftrightarrow{CD}\) and \(BD\) is a transversal.

Step2: Identify the alternate - interior angles

The angle \(\angle CDB\) and \(\angle DBF\) are alternate - interior angles.

Answer:

\(m\angle CDB = m\angle DBF\)