Question clockw
- Clockwise from top left, the 3 lines are labeled, c, s, and t.
- Line c intersects both line s and line t.
- At the intersection of line c and line s, 1 angle is labeled clockwise from top left as follows:
- Top right: x/li>
- At the intersection of line c and line t, 1 angle is labeled clockwise from top left as follows:
- Top left: 110/li>
- A note indies the figure is not drawn to scale.
In the figure shown, line intersects parallel lines and . What is the value of ?
Clockwise from top left, the 3 lines are labeled, c, s, and t. Line c 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
The correct answer is . Based on the figure, the angle with measure and the angle vertical to the angle with measure are same side interior angles. Since vertical angles are congruent, the angle vertical to the angle with measure also has measure . It’s given that lines and are parallel. Therefore, same side interior angles between lines and are supplementary. It follows that . Subtracting from both sides of this equation yields .
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