1.
x=2k
y=3k
z=4k
x+y+z=180°
2k+3k+4k=180°
9k=180°
k=20°
x=2k=2×20°=40°
y=3k=3×20°=60°
z=4k=4×20°=80°
2.
x=1,5k
y=0,5k
z=0,25k
x+y+z=180°
1,5k+0,5k+0,25k=180°
2,25k=180°
k=80°
x=1,5k=1,5×80°=120°
y=0,5k=0,5×80°=40°
z=0,25k=0,25×80°=20°
3
x×1/2=k x=2k
y×1/3=k y=3k
z×1/6=k z=6k
x+y+z=180°
2k+3k+6k=180°
11k=180°
k=180°/11
x=2k=2×180°/11=32,(72)°
y=3k=3×180°/11=49,(09)°
z=6k=6×180°/11=98,(18)°
4
x×3=k x=k/3
y×4=k y=k/4
z×6=k z=k/6
x+y+z=180°
k/3+k/4+k/6=180°
4k+3k+2k=2160°
9k=1260°
k=1260°/9=240°
x=k/3=240°/3=80°
y=k/4=240°/4=60°
z=k/6=240°/6=40°