Question

look at this diagram:
if \\( \overleftrightarrow { b d } \\) and \\( \overleftrightarrow { e g } \\) are parallel lines and \\( m \angle e f c = 49 ^ { \circ } \\), what is \\( m \angle d c f \\)?
submit
\\( \square ^ { \circ } \\)

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. $\angle EFC$ and $\angle DCF$ are vertical angles.

Step2: Determine the measure of $\angle DCF$

Since $\angle EFC = 49^{\circ}$ and $\angle EFC=\angle DCF$ (vertical angles), then $m\angle DCF = 49^{\circ}$.

Answer:

$49^{\circ}$