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calculati masurile unghiurilor patrulaterului convex ABCD , stiind ca : m(B) = 2/3  x m(A)  ; m(C) = 1/6 x m(A) si m(D) = 1 intreg 1/4 x m( B).                            

x( inmultit)










Răspuns :

m(B) = 2/3  x m(A)  ;
 m(C) = 1/6 x m(A)
 m(D) = 1 intreg 1/4 x m( B)=  5/4
x m( B)=5/4*2/3 x m(A)  = 5/6x m(A)  ;                  

 m(A) +m(B)+m(C)+m(D)=360
 m(A)+2/3X m(A)+1/6X m(A)+5/6X m(A)=360

6/6 m(A) + 4/6  x m(A)+ 1/6 x m(A)+5/6x m(A) =360
16/6 x m(A) =360
m(A)=360x6/16=135
m(B)=2/3X135=90
m(C)=1/6X135= 22.5
m(D)=5/6X135= 112.5