As given in the question, ABCD is a square. The angles between the sides of the square are always 90°. The diagonal divides this angle exactly into two halves.
Therefore, the angle BCA is
![\angle BCA=(90^0)/(2)=45^0^{}_{}](https://img.qammunity.org/2023/formulas/physics/college/cxnb9a9woesi7i8cwvpypn74n6duwodb9m.png)
The total angle at the centre where the diagonals meet is 360°.
These diagonals cut it into four equal parts.
Therefore, angle AWD is
![\angle AWD=(360^0)/(4)=90^0](https://img.qammunity.org/2023/formulas/physics/college/kb6bxjiqifx671zpbiwtq9f68c83cfkzlm.png)