Question

Calculati masurile unghiurilor patrulaterului convers ABCD stiind ca: m(B) = 2/3 x m (A) ; m(c) =1/6 x m(A) si m(D) = 1 (intreg) si 1/4 x m(B)

Answer 1

A+B+C+D=360 gr
B=2A/3
C=A/6
D=1. 1/4 B =5B =4 =5*2A /3*4 =10A /12
A+2A/3+A/6+10A/12 =12A+8A+2A+10A /12 =32A/12
=8A/3 =360 grade  ;
A =3*360/8 =135grade
B=2A /3 =2*135/3 =90 gr
C =A/6  ; C =135/6 =22.5 gr
D =10A /12 =10*135/12 =112.5 gr
( V :  135+90+22.5+112.5 =360 grade  )