Question

Aflați masura unui unghi patrulater convex daca:a) sunt direct proportionale cu 2,5;2;1,5;3; b) sunt invers proportionale cu 2 pe 3;1;2;3

Answer 1

A+B+C+D=360°
A/2,5=B/2=C/1,5=D/3 =(A+B+C+D) /(2,5+2+1,5+3)=360°/9=40°
A=2,5×40°=100°
B=2×40°=80°
C=1,5×40°=60°
D=3×40°=120°

A+B+C+D=360°
2A/3=B=2C=3D    B=2A/3   C=2A/6     D=2A/9
A+2A/3+A/3+2A/9=360°
9A+6A+3A+2A=3240°
20A=6840°
A=162°
B=2/3×162°=108°
C=2×162°/6=54°
D=2×162°*9=36°