self Maths Puzzle

In triangle ABC ,if AB=7units,AC=5 units and angle C is the maximum angle by which ABC forms a triangle.what is the value of angle A?

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self Other Question

The diagonal of a rectangular field is 60 m. more than the shorter side.If the longer side is 30 m. more than the shorter side.What are the sides of the field ? Let a < 1, b < 1 and consider the infinite G.P's, x= 1+a+a2+...., y= 1+b+b2+...., and z=1+ab+ab2+...., then z=