Question

4 unhiuri in jurul unui punct au masurile direct proportionale cu numerele 2 3 4 6.De aflat masurile unghiurilor

Answer 1

Cele 4 unghiuri le notam x, y, z, w. Avem relatiile:
x+y+z+w=360
x/2=y/3=z/4=w/6=k
Deci
x=2k, y=3k, z=4k si w=6k
2k+3k+4k+6k=360
15k=360
K=24
x=2*24=48,y=3*24=72,z=4*24=96 si w=6*24=144