Question clockw
- Clockwise from top left, the 3 lines are labeled k, m, and n.
- Line k intersects both line m and line n.
- At the intersection of line k and line n, 2 angles are labeled clockwise from top left as follows:
- Top left: x/li>
- Bottom right: 145/li>
- A note indies the figure is not drawn to scale.
In the figure, line is parallel to line , and line intersects both lines. Which of the following statements is true?
The value of is less than .
The value of is greater than .
The value of is equal to .
The value of cannot be determined.
Clockwise from top left, the 3 lines are labeled k, m, and n. Line k 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 C is correct. Vertical angles, or angles that are opposite each other when two lines intersect, are congruent. It’s given that line intersects line . Based on the figure, the angle with measure and the angle with measure are vertical angles. Therefore, the value of is equal to .
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 D is incorrect and may result from conceptual or calculation errors.
More Lines, Angles, and Triangles practice questions
- Counterclockwise from top right, the lines are labeled s, r, q, and t. Line
- In △ R S T , the measure of ∠ R is 63 °
- Clockwise from top left, the 3 lines are labeled t, m, and n. Line
- In triangle X Y Z , angle Y is a right angle, point P
- At the intersection of the 2 lines, the angles are labeled clockwise from top
- Triangles A B C and D E F are congruent, where A corresponds to
- Clockwise from top left, the 3 lines are labeled t, p, and q. Line
- A circle has center O , and points R and S lie on the
Browse all Additional Topics in Math practice questions or return to the full SAT question bank.