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Rosana1
a fost răspuns

ABCD patrulater convex.Unghiurile invers proportionale cu 0,9 ; 0,(3) ; 0,25 ; 0,(6).Aflati unghiurile.

Răspuns :

Anelira
A×1/9 = B×1/3= C×1/4=D×2/3
A/9=B/3=C/4=2D/3 = K
A=9K
B=3K
C=4K
D=3K/4
A+B+C+D=360
9K+3K+4K+3K/2=360
18K+6K+8K+3K=720
36K=720 ⇒K=720/36 ⇒K=20
A=9K=9×20=180°
B=3·K=3×20=60°
C=4·K=4×20=80°
D=3·K/2=3×20/2=30°

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