Right triangles LMN and PQR are similar, where Land M correspond to P and Q, respectively. Angle Mhas a measure of 53°. What is the measure of angle Q ?
Correct answer: B. 53°
- A. 37°
- B. 53°
- C. 127°
- D. 143°
Explanation
Choice B is correct. It's given that triangle LMN is similar to triangle PQR. Corresponding angles of similar triangles are congruent. Since angle M and angle Q correspond to each other, they must be congruent. Therefore, if the measure of angle M is 53°, then the measure of angle Q is also 53°.
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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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