Question

in quadrilateral abcd, $overline{ab}paralleloverline{cd}$ and $mangle2 = 35^{circ}$. what is $mangle5? enter your answer in the box.

Explanation:

Step1: Identify angle - pair relationship

Since $\overline{AB}\parallel\overline{CD}$, $\angle2$ and $\angle5$ are alternate - interior angles.

Step2: Apply the alternate - interior angles theorem

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So $m\angle5 = m\angle2$.

Answer:

$35$