Question

in this figure, $overline{ab}paralleloverline{cd}$ and $mangle4 = 85^{circ}$. what is $mangle5$? enter your answer in the box.

Explanation:

Step1: Identify angle - pair relationship

$\angle4$ and $\angle5$ are alternate - interior angles.

Step2: Apply property of parallel lines

Since $\overline{AB}\parallel\overline{CD}$, alternate - interior angles are congruent. So $m\angle5=m\angle4$.

Answer:

$85$