Question

Masurile unghiurilor unui patrulater convex sunt invers proportionale cu numerele;1/4,1/7,1/8,1/5

Answer 1

Avem : a×1/4 =b×01/7=c×1/8=d×1/5 ⇒ a/4=b/7=c/8=d/5=(a+b+c+d)/(4+7+8+5)=360/24=15

Suma masurilor intr-un patrulater convex = 360°

a/4=15=⇒a=60°

b/7=15⇒b=105°

c/8=15=c=120°

d/5=13⇒d=65°