(Solved): ** 15.14 (Geometry: inside a polygon?) Write a program that draws a fixed polygon with points at (3 ...

** $$15.14$$ (Geometry: inside a polygon?) Write a program that draws a fixed polygon with points at $$(30,10),(60,30),(50,70),(35,35)$$, and $$(10,50)$$. Whenever the mouse is moved, display a message indicating whether the motwe point is inside the polygon at the mouse point or outside of it, as shown in Figure $$15.29\mathrm{c}$$. To detect whether a point is inside a polygon, use the contains method defined in the Node class. Ficure 15.29 Detect whether a point is inside a circle, a rectangle, or a polygon.