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Bosnia and Herzegovina JBMO TST 2012 Problem 3

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2012

September 16, 2018
geometryanglesvalue

Problem Statement

Internal angles of triangle are (5x+3y)∘(5x+3y)^{\circ}, (3x+20)∘(3x+20)^{\circ} and (10y+30)∘(10y+30)^{\circ} where xx and yy are positive integers. Which values can x+yx+y get ?
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