Bunuel wrote:

If the lengths of the sides of a triangle are x, x + 1 and x + 2, which of the following is a possible measure for the angle opposite the side with length x?

(A) 58°

(B) 60°

(C) 61°

(D) 62°

(E) 89°

Since x is the smallest side, the angle opposite side x must be the smallest angle. From the given answer choices, the only possibility is choice A (58 degrees). If the smallest angle were any of the other choices, say choice B (60 degrees), then each of the other two angles would be more than 60 degrees. This would make the sum of the 3 angles of the triangle more than 180 degrees, which is not possible. Thus, the smallest angle must be less than 60 degrees and the correct answer choice is A, 58 degrees.

Answer: A

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