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Determina unghiurile unit patrulater convex, stiind ca acestea sunt direct proportionale cute 3,4,5,6

Răspuns :


ABCD=patrulater convex

A=3k

B=4k

C=5k

D=6k

Orice patrulater convex are 360 de grade

A+B+C+D=360 de grade

3k+4k+5k+6k=360 de grade

18k=360 de grade

k=360:18=20

k=20 de grade

A=3 x 20=60

B=4 x 20=80

C=5 x 20=100

D=6 x 20=120

Verificare=60+80+100+120=360 de grade