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determinati masurile unghiurilor unui patrulater convex, stiind ca acestea sunt ptoportionale cu 3, 4, 5 si respectiv 6

Răspuns :

{a, b, c, d} d.p. {3, 4, 5, 6}

[tex]\frac{a}{3} = k => a=3k\\ \frac{b}{4} = k => b=4k\\\frac{c}{5} = k => c=5k\\ \frac{d}{6} = k => d=6k\\ \\3k+4k+5k+6k = 180 grade\\18k = 180 grade\\k = \frac{180}{18}  = 10\\k = 10\\=> m(A) = 3 * 10 = 30 grade\\=> m(B) = 4 * 10 = 40 grade\\=> m(C) = 5*10 = 50 grade\\=> m(D) = 6*10 = 60 grade[/tex]

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