1. **Stating the problem:** We are given four polygons with some angles labeled and asked which angle among \(\angle a, \angle b, \angle c, \angle d\) cannot be found given the angles 143°, 110°, and 122°. 2. **Understanding the polygons and angles:** - The first polygon is a quadrilateral with one angle 122° and adjacent angle \(\angle a\). - The second polygon is a quadrilateral with one angle 143° and adjacent angle \(\angle b\). - The third polygon is a quadrilateral with a right angle (90°) and adjacent angle \(\angle c\). - The fourth polygon is a rhombus with one angle 110° and opposite angle \(\angle d\). 3. **Formula and rules:** - The sum of interior angles of a quadrilateral is always \(360^\circ\). - In a rhombus, opposite angles are equal. - Adjacent angles in a rhombus are supplementary (sum to \(180^\circ\)). 4. **Finding each angle:** - For \(\angle a\) in the first quadrilateral: Since one angle is 122°, and assuming the adjacent angle \(a\) is supplementary to 122° (if they are adjacent angles on a straight line), then \(\angle a = 180^\circ - 122^\circ = 58^\circ\). - For \(\angle b\) in the second quadrilateral: Given one angle is 143°, similarly, if \(b\) is adjacent and supplementary, \(\angle b = 180^\circ - 143^\circ = 37^\circ\). - For \(\angle c\) in the third quadrilateral: One angle is a right angle (90°). Without more information, \(\angle c\) cannot be determined because the other angles or relationships are not given. - For \(\angle d\) in the rhombus: Given one angle is 110°, the opposite angle \(d\) is equal to 110° because opposite angles in a rhombus are equal. 5. **Conclusion:** \(\angle c\) cannot be found with the given information. **Final answer:** \(\boxed{\angle c}\) cannot be found.