Question right-
Right triangles and are similar, where and correspond to and , respectively. Angle has a measure of . What is the measure of angle ?
Right triangles L M N and P Q R are similar, where L and M correspond
Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Angle relationships (parallel lines). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It’s given that triangle is similar to triangle . Corresponding angles of similar triangles are congruent. Since angle and angle correspond to each other, they must be congruent. Therefore, if the measure of angle is , then the measure of angle is also .
Choice A is incorrect and may result from concluding that angle and angle are complementary rather than congruent.
Choice C is incorrect and may result from concluding that angle and angle are supplementary rather than congruent.
Choice D is incorrect and may result from conceptual or calculation errors.
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