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In the following questions each question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.
If A, B, C are the angles and a, b, c are lengths of the sides opposites to them respectively, then, is the triangle ABC equilateral?
I. $$\frac{a}{\cos A} = \frac{b}{\cos B} = \frac{c}{\cos C}$$
II. $$A + B + C = \pi$$
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