- 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°
- At the intersection of line c and line t, 1 angle is labeled clockwise from top left as follows:
- Top left: 110°
- A note indicates the figure is not drawn to scale.
In the figure shown, line intersects parallel lines and . What is the value of ?
Correct answer: 70
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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