Question clockw
- Clockwise from top left, the 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: x/li>
- At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
- Bottom right: 33/li>
- A note indies the figure is not drawn to scale.
In the figure, line is parallel to line , and line intersects both lines. What is the value of ?
Clockwise from top left, the lines are labeled t, m, and n. Line t intersects both
Easy-difficulty · SAT Math · Lines, Angles, and Triangles — Angle relationships (parallel lines). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. It’s given that line is parallel to line , and line intersects both lines. It follows that line is a transversal. When two lines are parallel and intersected by a transversal, exterior angles on the same side of the transversal are supplementary. Thus, . Subtracting from both sides of this equation yields . Therefore, the value of is .
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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