Question

Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,

Answer 1

a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°


`\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow (a)/(2)= (b)/(3)= (c)/(6) =(d)/(7)= (a+b+c+d)/(2+3+6+7) = \\ \\ \\ = (360^0)/(18) =20^0`


`\it (a)/(2) =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ (b)/(3) =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ (c)/(6) =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ (d)/(7) =20^0 \Rightarrow d=20^0\cdot7 =140^0`