Respuesta :

Answer:

35.26°

Step-by-step explanation:

If a cube has side length x

diagonal of the face = x×√2

The diagonal of the cube = x × √3

the angle between them is an acute angle in a right triangle,

opposite = x , adjacent = x×√2 , hyp. = x×√3

sin(angle) = x / ( x×√3 )

angle = sin^(-1) ( 1/√3) = 35.26