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Since the given triangle has all the three sides equal the triangle is eqilateral and in a eqilateral triangle the angle at each vertex is degrees.

To prove it mathematically by law of cosines a^2=b^2 + c^2 -2 bc cos(A)

where a,b,c are length of sides of triangle and A is the angle at vertex A.

by applying the condition that a=b=c we get cos(A)=1/2

hence angleA is 60degress

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