Question

Determinati masurile unghiurilor unui patrulater CONVEX ABC stiind ca sunt direct prop cu 4,7,2,5

Si un patrulater CONVEX ABC are masurile unghiurilor invers prop cu 3,12,6,4 det masurile unghiurilor patrulaterului

Answer 1

A+B+C+D=360°
A/4=B/7=C/2=D/5     B=7A/4  C=2A/4=A/2  D=5A/4
A+7A/4+A/2+5A/4=360°
A+12A/4+A/2=360°
A+3A+A/2=360°
9A=720°
A=80° 
B=7×80°/4=140°
C=80°/2=40°
D=5×80°/4=100°


A+B+C+D=360°
3A=12B=6C=4D     B=3A/12=A/4  C=3A/6=A/2  D=3A/4
A+A/4+A/2+3A/4=360°
4A+A+2A+3A=1440°
10A=1440°
A=144°
B=144°/4=36°
C=144°/2=72°
D=3×144°/4=108°