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China TST 1986 geometry problem on square perimeter

Source: China TST 1986, problem 5

May 16, 2005
geometryperimetertrigonometryangle bisectorcongruent trianglesChina

Problem Statement

Given a square ABCDABCD whose side length is 11, PP and QQ are points on the sides ABAB and ADAD. If the perimeter of APQAPQ is 22 find the angle PCQPCQ.
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