Question

Determinati masurile unughiurilor unui patrat convex stiind ca acestea sunt d.p cu 2 , 3 ,7 si 8

Answer 1

suma unghiurilor unui patrulater=360 grade
A/2=B/3=C/7=D/8=K
A/2=K =>A=2K
B/3=K =>B=3K
C=7K
D=8K
2K+3K+7K+8K=360
20K=360
K=360:20
K=18
A=2x18=36 grade
B=3x18=54
c=7x18=126
D=8x18=144

Answer 2

{a;b;c;d} d.p {2;3;7;8} 
a+b+c+d=90
a/2=b/3=c/7=d/8=k
a=2k
b=3k     
             ⇒2k+3k+7k+8k=90
                20k=90/:20
                k=4,5
c=7k
d=8k

⇒a=2*4,5=9°
⇒b=3*4,5=13,5°
⇒c=7*4,5=31,5°
⇒d=8*4,5=36°
Sper ca te-am ajutat!!