Question clockw
- Clockwise from top left, the 3 lines are labeled t, p, and q.
- Line t intersects both line p and line q.
- At the intersection of line t and line q, 2 angles are labeled clockwise from top left as follows:
- Top left: x/li>
- Top right: 142/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 3 lines are labeled t, p, and q. Line t intersects
Medium-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. In the figure shown, the angle marked and the angle marked form a linear pair of angles. If two angles form a linear pair of angles, the sum of the measures of the angles is . Therefore, the value of is .
Choice A is incorrect. This is less than , not the sum of and .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect. This is the measure, in degrees, of one of the angles shown.
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