You can solve this graphically without knowing any angle, using align command. The only requirement is that distances A-D and A-E are equal (attached drawing).
Determine the point in space where points D and E will meet:
Draw a line D-F from point D, perpendicular to line A-B.
Draw a line E-G from poine E, perpendicular to line A-C.
Lines D-F and E-G intersect at point H
Draw a line H-K from point H, then type in: @0,0,30 + Enter.
Set UCS to 3 points - H, D and K.
Draw a circle - center = point F, radius at point D.
Just drawn circle intersects line H-K at point M.
Start "align" command and select green figure.
First source point = A, first destination point = A
Second source point = B, second destination point = B
Third source point = D, third destination point = M
Align the red figure - A to A - C to C - E to M
3dcorner.dwg