1. **State the problem:** Determine if polygons EFGH and WVUT are similar based on their given angles and side lengths. 2. **Recall similarity criteria for polygons:** Polygons are similar if their corresponding angles are equal and their corresponding sides are proportional. 3. **Analyze given data:** - Polygon EFGH has angles \(\angle E = 118^\circ\) and \(\angle G = 118^\circ\), sides \(EH = 20\), \(GH = 20\), \(FG = 20\), and \(EF = 20\). - Polygon WVUT has angles \(\angle V = 62^\circ\) and \(\angle T = 62^\circ\), sides \(WV = 4\), \(TU = 4\), \(WU = 4\), and \(UV = 4\). 4. **Check angle correspondence:** - In EFGH, two angles are 118° each. - In WVUT, two angles are 62° each. - Since \(118^\circ \neq 62^\circ\), the corresponding angles are not equal. 5. **Conclusion:** Since corresponding angles are not equal, the polygons are not similar. **Final answer:** EFGH is not similar to WVUT.