Question

Calculati masurile unghiurilor patrulaterului convex ABCD , stiind ca :
m(A)=1.25*m(C) ; m(C)=0.(6) * m(B) ; m(D)=0.1(6) * m(B)
DAU CORONITA !!!!!!

Answer 1

m(A) = 125/100*m(C)
m(C) = 6/9 *m(B)
m(D) = 16-1/90*m(B) =  15/90*m(B) = 1/6 *M(b)
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m(A)+m(B)+m(C)+m(D) = 360 grade
5/4*2/3*m(B) + m(B) + 2/3*m(B) + 1/6* m(B) = 360 grade
5/6 m(B) + 6/6 m(B) + 4/6*m(B) +1/6* m(B) =360 grade
16* m(B) = 360 * 6 grade
m(B)=135 grade
m(A) =5/4 *135 grade =168 grade 30 minute
m(C)=2/3 *135 grade = 90 grade 
m(D) =1/6*135 grade =22 grade 30 minute