Question

Un trapez ABCD are masurile unghiurilor invers proportionale cu numerele: 0,1(6) ; 0,125; 0,25 si 0,1(6).

Answer 1

0,1(6)=16-1/90=15/90=5/30=1/6
0,125=125/1000=25/200=5/40=1/8
0,25=25/100=5/20=1/4
{A,B.C.D}ip{1/6,1/8,1/4,1/6}
A/6=B/8=C/4=D/6=K
A/6=K⇒A=6K
B/8=K⇒B=8K
C/4=K⇒C=4K
D/6=K⇒D=6K
A+B+C+D+=360
6K+8K+4K+6K=360
24K=360
K=360/24=15
A=6K=6·15=90 GRADE
B=8K=8·15=120
C=4K=4·15=60
D=6K=6·15=90
90+120+60+90=360