Question

Determinati masurile unghiurilor unui patrulater convex stiind ca acestea sunt direct proportionale cu 3,4,5 si 6.

Answer 1

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

a + b + c + d = 360°

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a / 3 = b / 4 = c / 5 = d / 6 = K

a / 3 = K => a = 3 K

b / 4 = K => b = 4 K

c / 5 = K => c = 5 K

d / 6 = K => d = 6 K

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3 K  + 4 K + 5 K + 6 K = 360 °

7 K + 5 K + 6 K = 360°

12 K + 6 K = 360°

18 K = 360°

K = 360 : 18

K = 20°

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a = 3 · 20° = 60°

b = 4 · 20° = 80°

c = 5 · 20° = 100°

d = 6 · 20° = 120°