3

Part of 2012 Bosnia and Herzegovina Junior BMO TST

Problems(1)

Bosnia and Herzegovina JBMO TST 2012 Problem 3

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2012

Internal angles of triangle are

(5x+3y)^{\circ}

(3x+20)^{\circ}

(10y+30)^{\circ}

x

y

are positive integers. Which values can

x+y

geometryanglesvalue