Question

Un patrulater convex are măsurile unghiurilor direct proporționale cu numerele 3,4,5,6

Answer 1

A, B, C, D d.p 3, 4, 5, 6

=>A/3 = B/4 = C/5 = D/6
=>A/3 = B/4 = C/5 = D/6 = k

=> A = k x 3
=> B = k x 4
=> C = k x 5
=> D = k x 6

A + B + C + D = 360
=> k x 3 + k x 4 + k x 5 + k x 6 = 360
=> k x 18 = 360
=> k = 360/18
=> k = 20

=> A = 20 x 3 
=> A = 60

=> B = 20 x 4
=> B = 80

=> C = 20 x 5
=> C = 100

=> D = 20 x 6
=> D = 120

Sper ca te-am ajutat :)