1. **State the problem:** We have triangle ABC with angles $A=35^\circ$ and $B=20^\circ$. We want to find which triangles among DEF, GHI, JKL, MNO, and PQR are similar to ABC. 2. **Recall the rule for similarity of triangles:** Two triangles are similar if their corresponding angles are equal. 3. **Find the third angle of triangle ABC:** Since the sum of angles in a triangle is $180^\circ$, the third angle $C$ is $$C = 180^\circ - 35^\circ - 20^\circ = 125^\circ.$$ 4. **Check each triangle's angles:** - Triangle DEF: $D=35^\circ$, $E=20^\circ$, so third angle $F=125^\circ$ (since $180 - 35 - 20 = 125$). Matches ABC. - Triangle GHI: $G=35^\circ$, $I=30^\circ$, third angle $H=115^\circ$. Does not match ABC. - Triangle JKL: $J=35^\circ$, $L=125^\circ$, third angle $K=20^\circ$. Matches ABC angles but order differs; angles are the same set. - Triangle MNO: $N=20^\circ$, $O=125^\circ$, third angle $M=35^\circ$. Matches ABC angles. - Triangle PQR: $Q=20^\circ$, $R=30^\circ$, third angle $P=130^\circ$. Does not match ABC. 5. **Conclusion:** Triangles DEF, JKL, and MNO have the same set of angles as ABC and are therefore similar to triangle ABC. **Final answer:** Triangles DEF, JKL, and MNO are similar to triangle ABC.