Question

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$overline{ab}paralleloverline{cd}$, $mangle7 = 30^{circ}$ what is $mangle6$? add text a. $150^{circ}$ germany b. $30^{circ}$ england c. $50^{circ}$ italy

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}\parallel\overline{CD}$, $\angle1$ and $\angle6$ are alternate - interior angles.

Step2: Apply angle - property

Alternate - interior angles formed by parallel lines are congruent. Given $m\angle1 = 30^{\circ}$, then $m\angle6=m\angle1$.

Answer:

B. $30^{\circ}$