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Problem Solving (PS) | Re: If the lengths of the sides of a triangle are x, x + 1 and x + 2, whic

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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
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