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Finding the measurement of angle with compass only...

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February 7, 2011
geometryrectangleexterior anglegeometry unsolved

Problem Statement

An angle is given in a plane. Using only a compass, one must find out (a)(a) if this angle is acute. Find the minimal number of circles one must draw to be sure. (b)(b) if this angle equals 31∘31^{\circ}.(One may draw as many circles as one needs).