Miracle Geometry
is a square. Now taking and as centre and radius equal to the side of square, circles are drawn to cut each other at inside square, find .
Clarifications: All angles in terms of degrees.
The answer is 30.
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take circle 1 : (x-1)^2+(y-1)^2=1 (x-1)^2+y^2=1 which yields to two circels whose centes are located on (1,1) and (1,0) with radie 1 therefore the intersection points of the square are A(0,0) B(0,1) C(1,1) D (1,0). find the interseftion point E calculate the slope of AE and then the angle that corresponds to it namely 75-45=30