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In the figure, line $m$ is parallel to line $n$. What is the value of $w$?

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In the figure, line $m$ is parallel to line $n$. What is the value of $w$?

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","comment":{"@type":"Comment","text":"

Choice D is correct. It's given that lines $m$ and $n$ are parallel. Since line $t$ intersects both lines $m$ and $n$, it's a transversal. The angles in the figure marked as $134^{\\circ}$ and $w^{\\circ}$ are on the same side of the transversal, where one is an interior angle with line $m$ as a side, and the other is an exterior angle with line $n$ as a side. Thus, the marked angles are corresponding angles. When two parallel lines are intersected by a transversal, corresponding angles are congruent and, therefore, have equal measure. It follows that $w^{\\circ}=134^{\\circ}$. Therefore, the value of $w$ is $134$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

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In the figure, line $m$ is parallel to line $n$. What is the value of $w$?

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134

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