Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects both line m and

Question

Clockwise from top left, the 3 lines are labeled t, m, and n.
Line t intersects both line m and line n.
At the intersection of line t and line m, 1 angle is labeled clockwise from top left as follows:
- Bottom left: 134/li>
At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
- Bottom left: w/li>
A note indies the figure is not drawn to scale.

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

Accepted Answer

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 $134 degree$ and $w °$ 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 $w degree equals 134 degree$ . 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.

Question clockw

Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects

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