A Solution to Two Old Problems by Menger Concerning Angle Spaces

Around 1930, Menger expressed his interest in the concept of abstract angle function. He introduced a general definition this notion for metric and semi-metric spaces. also proposed two problems concerning conformal embeddability spaces endowed with an function into Euclidean These received attention later years but only some particular cases In article, we first update to apply larger class betweenness, which seem us more natural framework. new setting, solve by Menger.