Răspuns :
1. Notam masurile unghiurilor A1, A2 si A3 cu a, b, c
Se stie ca a+b+c=180°
2a=3b=6c/12=>a/6=b/4=c/2=(a+b+c)/(6+4+2)=180°/12=15°
a/6=15°=>a=90°
b/4=15°=>b=60°
c/2=15°=>c=30°
Se stie ca a+b+c=180°
2a=3b=6c/12=>a/6=b/4=c/2=(a+b+c)/(6+4+2)=180°/12=15°
a/6=15°=>a=90°
b/4=15°=>b=60°
c/2=15°=>c=30°
a+b+c =360 grade
a b c
--- = --- = ----- = k
1/2 1/3 1/6
a/1/2 =k a =k/2
b/1/3 =k b =k/3
c/1/6 =k c =k/6
k/2+k/3+k/6 =3k+2k+k/6 =6k/6
6k/6 =360
6k =360*6
k =360
a =k/2 =360/2 =180 grade
b =k/3 =360/3 =120 grade
c =k/6 =360/6 =60 grade
v ; 180+120+60 =360 grade
a b c
--- = --- = ----- = k
1/2 1/3 1/6
a/1/2 =k a =k/2
b/1/3 =k b =k/3
c/1/6 =k c =k/6
k/2+k/3+k/6 =3k+2k+k/6 =6k/6
6k/6 =360
6k =360*6
k =360
a =k/2 =360/2 =180 grade
b =k/3 =360/3 =120 grade
c =k/6 =360/6 =60 grade
v ; 180+120+60 =360 grade