How to Find X,Y co ordinates in elongated five-point star inside rectangle

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How to find the X,y Co ordinates of the circled points shown in the image?
Thanks.
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Iwould start with calculating the equations of the intersecting lines.
 
View attachment 8410
How to find the X,y Co ordinates of the circled points shown in the image?
With only the information posted, I don't think it's possible to obtain numerical coordinates for the circled points. Why not? Imagine the left-most point not moving and the right-most corner points not moving, but moving the vertical line within the five-pointed start left or right. The star's shape remains, but those circled points move as their associated "diagonals" slide along with fixed lines.

Are you given any other information? Thank you! ;)
 
With only the information posted, I don't think it's possible to obtain numerical coordinates for the circled points. Why not? Imagine the left-most point not moving and the right-most corner points not moving, but moving the vertical line within the five-pointed start left or right. The star's shape remains, but those circled points move as their associated "diagonals" slide along with fixed lines.

Are you given any other information? Thank you! ;)

Thanks for your effort,
Anyhow it is solved.

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