In the figure shown, line c intersects parallel lines s and t. What is the value of x ?
Correct answer: A. 4 + 5
- A. 4 + 5
- B. 80
- C. 90
- D. 75
Explanation
The correct answer is 70. Based on the figure, the angle with measure 110o and the angle vertical to the angle with measure xo are same side interior angles. Since vertical angles are congruent, the angle vertical to the angle with measure xo also has measure xo . It's given that lines s and t are parallel. Therefore, same side interior angles between lines s and t are supplementary. It follows that x = 110 + 180. Subtracting 110 from both sides of this equation yields x = 70.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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