In the figure, what is the value of x?
Correct answer: D. 105
- A. 45
- B. 90
- C. 100
- D. 105
Explanation
Choice D is correct. A quadrilateral's interior angles sum up to 360°. To find x, set up the equation 45 + 3x = 360. First, subtract 45 from both sides to get 3x = 315. Then, divide by 3 to solve for x, resulting in x = 105. This value ensures the angles add up correctly to 360°. Other options do not satisfy this requirement as their calculated sums are less than 360°.
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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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