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question 8 \\(\\overline{ab}\\parallel\\overline{cd};m\\angle3 = 120^{\…

Question

question 8
\\(\overline{ab}\parallel\overline{cd};m\angle3 = 120^{\circ}\\)
what is (m\angle8)?
adc
a. (60^{\circ})
b. (120^{\circ})
c. (30^{\circ})

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}\parallel\overline{CD}$, $\angle3$ and $\angle8$ are corresponding angles.

Step2: Apply property of corresponding angles

Corresponding angles formed by parallel lines are congruent. So $m\angle8 = m\angle3$.

Answer:

B. $120^{\circ}$