Question

question 6
novelist james baldwin eno
\\(\overline{ab}\parallel\overline{cd};m\angle2 = 80^{\circ}\\)
what is (m\angle7)?
a. (100^{\circ})
b. (80^{\circ})
c. (50^{\circ})

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}\parallel\overline{CD}$, $\angle2$ and $\angle7$ are alternate - exterior angles.

Step2: Apply the property of alternate - exterior angles

Alternate - exterior angles formed by two parallel lines and a transversal are congruent. So $m\angle7=m\angle2$.

Answer:

B. $80^{\circ}$