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a fost răspuns

URGENT calculati unghiurile unui patrulater convex ABCD stiind ca masura(<B)=2/3xmasura(<A),masura(<C)=1/6xmasura(<A) si masura (<D)=1 intreg si 1/4xmasura (<B)

Răspuns :

A+B+C+D =360 grade
B =2A/3
C =A/6
D =1.1/4 *B =5B/4 =5/4*2A/3 =5*24/4*3 =10A/12

A + 2A/3 + A/6 + 10A /12 =360  NUMITOR 12
12A +8A +2A +10A =4320
32A =4320
A =135 gr
B =2A/3 =2*135/3 =90 gr
C =A/6 =135/6 =22.5  gr
D =10A/12 =10*135/12 =112.5 gr
v ; 135+90+22.5+112.5 =360 gr