- Clockwise from top left, the 3 lines are labeled l, m, and n.
- Line l intersects both line m and line n.
- At the intersection of line l and line m, 1 angle is labeled clockwise from top left as follows:
- Top right: x°
- At the intersection of line l and line n, 1 angle is labeled clockwise from top left as follows:
- Top left: 26°
- A note indicates the figure is not drawn to scale.
In the figure shown, line is parallel to line . What is the value of ?
Correct answer: D
Explanation
Choice D is correct. The sum of consecutive interior angles between two parallel lines and on the same side of the transversal is degrees. Since it's given that line is parallel to line , it follows that . Subtracting from both sides of this equation yields . Therefore, the value of is .
Choice A is incorrect. This is half of the given angle measure.
Choice B is incorrect. This is the value of the given angle measure.
Choice C is incorrect. This is twice the value of the given angle measure.
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.