After the square ABCD rotates n degrees around point a, the square aefg, EF and CD intersect at point o.1. Connect de and Ao, and prove that De is perpendicular to AO 2. If the side length of the square is 2 and the area of the overlapping part (quadrilateral aeod) is 4 / 3 times the root sign 3, the rotation angle n is calculated Baidu knows that there is a solution to this problem, but it uses trigonometric function Here we need to use quadrilateral or Pythagorean theorem to solve

After the square ABCD rotates n degrees around point a, the square aefg, EF and CD intersect at point o.1. Connect de and Ao, and prove that De is perpendicular to AO 2. If the side length of the square is 2 and the area of the overlapping part (quadrilateral aeod) is 4 / 3 times the root sign 3, the rotation angle n is calculated Baidu knows that there is a solution to this problem, but it uses trigonometric function Here we need to use quadrilateral or Pythagorean theorem to solve

Only provide ideas:
AD=AE
=>
ADE=AED
Known:
ADO=AEO=90
=>
ODE=OED
=>
DO=EO
therefore
Ao is the vertical line of de
Ao vertical de
two
Overlap area = 2 * ADO area = ad * do = 4 / √ 3
=>
DO=2/√3
tanDAO=DO/AD=1/√3
DAO=30
=>
DAE=60
n=90-DAE=30