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LMN PQR Right triangles and are similar, where L and Mcorrespond to Pand Q, respectively. Angle M has a measure of 53°. What is the measure of angle Q? 37°
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
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 53c 53c measure of angle M is , then the measure of angle Q is also . Choice A is incorrect and may result from concluding that angle M and angle Q are complementary rather than congruent. Choice C is incorrect and may result from concluding that angle M and angle Q are supplementary rather than congruent. Choice D is incorrect and may result from conceptual or calculation errors.
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