Question

Determinati masurile unghiurilor unui patrat convex stiind ca acestea sunt direct proportionale cu 3,4,5 si 6.

Answer 1

ABCD= patrat convex
{A, B, C, D} d.p {3, 4, 5, 6}
A/3= B/4= C/5= D/6=K
A/3= K=> A= 3K
B/4=K=> B= 4K
C/5= K=> C=5K
D/6=K=> D =6K
unghiuri ele unui patrat convex sunt egale cu 360 de grade
A+B+C+D=360°
3K+4K+5K+6K=360°
18K=360°
K=360:18
K= 20
A=3•20=60°
B=4•20=80°
C=5•20=100°
D=6•20=120°