Question

Determinati unghiurile unui patrlater convex stiind ca sunt invers proportionale cu acestea 0,(3) 0,25 0,125 si respectiv 0,(1)

Answer 1

a * 3/9 = b*0,25 = c*0,125 = d*1/9
a/3= 25b/100 = 125c/1000 = d/9
a/3= b/4=c/8=d/9 = k
a=3k
b=4k
c=8k
d=9k
a+b+c+d=360
3k+4k+8k+9k=360
24k=360
k=360:24
k=15
a=3*15=45
b=4*15=60
c=8*15=120
d=9*15=135