Answer:
35.26°
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