Question at-the
- At the intersection of the 2 lines, the angles are labeled clockwise from top as follows:
- Top: w/li>
- Right: unlabeled
- Bottom: z/li>
- Left: unlabeled
- A note indies the figure is not drawn to scale.
In the figure, two lines intersect at a point. If , what is the value of ?
At the intersection of the 2 lines, the angles are labeled clockwise from top as follows:
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 angles with measures and are vertical angles. Since vertical angles are congruent, . Therefore, if , the value of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect. This is the measure, in degrees, of an angle that's supplementary, not congruent, to the angle with measure .
Choice C is incorrect and may result from conceptual or calculation errors.
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