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question 2 she grew up in a ____ family. \\(\\overline{ab}\\parallel\\o…

Question

question 2
she grew up in a ____ family.
\\(\overline{ab}\parallel\overline{cd};m\angle2 = 80^{\circ}\\)
what is (m\angle8)?
add text
please add stretch the yellow highlight box over the answer.
a. (80^{\circ}) poor
b. (70^{\circ}) rich
c. (100^{\circ}) military

Explanation:

Step1: Identify angle - pair relationship

When $\overline{AB}\parallel\overline{CD}$, $\angle2$ and $\angle8$ are corresponding angles.

Step2: Apply corresponding - angles postulate

Corresponding angles are congruent when two parallel lines are cut by a transversal. So $m\angle8 = m\angle2$.

Answer:

A. $80^{\circ}$