Draw a vertical line through the edge in the direction A, perpendicular to the foot B. ..
A is perpendicular to the other side, and the vertical foot is O.
Connecting BO, then ∠ ABO = 45 (∠ ABO is the plane angle of dihedral angle).
So, let PA=√2
In Rt△PAB, AB= 1,
In Rt△ABO, AO=√2/2. therefore
In Rt△APO, sin ∠ apo = ao/AP = (√ 2/2)/√ 2 =1/2.
∴∠APO=30,
That is, the angle formed by the straight line and the other plane of the dihedral angle is 30.