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We need to know if there is a right triangle (on the left) and if this is a continuous line that link the triangle from the left and the one from the right (180°)
There isn't enough information in the diagram to answer the question. Considering that the lengths of two sides of one of the triangles are 6 and 8, it seems likely the question designer intended this to be a right triangle with sides 6, 8 and 10 (that is, a triangle twice as big as the 3-4-5 triangle), though unless we know there is a right angle, we can't be sure that this is the case. Similarly, seeing the lengths 24 and 26 in the rightmost triangle suggests that the question designer intended this to be a right triangle with sides 10, 24 and 26 (that is, a triangle twice as big as the 5-12-13 triangle), but again we can't be sure we have this triangle unless we know we have a right angle. And if the triangles are right triangles, as appears to be intended, the answer is not 40; it's roughly 76 degrees, though one needs to use trigonometry to prove that (so not something one might ever need to do on the GMAT).
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Hi there,
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