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no additional details were added for this assignment. in quadrilateral …

Question

no additional details were added for this assignment.
in quadrilateral abcd, \\(\overline{ab} \parallel \overline{cd}\\) and \\(m\angle 2 = 31^\circ\\).
what is \\(m\angle 5\\)?
enter your answer in the box.

Explanation:

Step1: Identify alternate interior angles

Since $\overline{AB} \parallel \overline{CD}$ and $\overline{BD}$ is a transversal, $\angle 2 = \angle 5$ (alternate interior angles are equal).

Step2: Substitute the known angle

Given $m\angle 2 = 31^\circ$, so $m\angle 5 = 31^\circ$.

Answer:

31