1. **Problem statement:** We have a six-pointed star made up of 6 identical quadrilaterals arranged around a center. Each quadrilateral has an internal angle labeled $x$, and two angles of 25° appear near the tips of the star points. We need to find the size of angle $x$. 2. **Understanding the figure:** Since the star is made of 6 identical quadrilaterals arranged around a point, the angles around the center sum to 360°. 3. **Key fact:** The 6 quadrilaterals meet at the center, so the sum of the angles at the center from each quadrilateral is 360°. Each quadrilateral contributes an angle $x$ at the center. 4. **Calculate the sum of the 6 angles $x$ at the center:** $$6x = 360°$$ 5. **Solve for $x$:** $$x = \frac{360°}{6} = 60°$$ 6. **Check with the 25° angles:** The 25° angles are adjacent to the $x$ angles but do not affect the sum at the center. The problem states the star is not drawn accurately, so the key is the symmetry and the sum of angles around the center. **Final answer:** $$\boxed{60°}$$