Clue to Puzzle #44: Diagonals on the Face of a Cube. What's the Angle?

cube with a line drawn across two faces to meet at one corner44. The two red lines in the diagram shown are drawn diagonally on the faces of a cube. What is the angle between them at the point where they join?
I propose to give clues here in the form of diagrams, the idea will be to reveal them one at a time until the answer is clear. Be sure to examine the cube in the question carefully first. If you're running through some advanced trig in your mind you're barking up the wrong tree. cube with a line drawn across two faces to meet at one corner

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