Use the information to answer the following question. Consider the following triangles. Triangle DEG where angle D is 70^circ and angle E is 65^circ - Triangle GHI where angle G is 65^circ and angle l is 65^circ Triangle JKL where angle Jis 65^circ and angle L is 45^circ Triangle MNO where angle N is 70^circ and angle O is 95^circ - Triangle PQR where angle Q is 45^circ and angle R is 70^circ If in Delta ABC angle A is 65^circ and angle B is 45^circ which of the following triangles is similar to Delta ABC (Select all that apply.) Triangle GHI Triangle JKL Triangle PQR Triangle DEG Triangle MNO

Here's how to determine which triangles are similar to ΔABC:<br /><br />1. **Calculate the missing angle in ΔABC:** The sum of angles in a triangle is 180°. Angle C = 180° - 65° - 45° = 70°<br /><br />2. **Compare angles:** Similar triangles have corresponding angles that are congruent (equal). We need to find triangles with angles of 45°, 65°, and 70°.<br /><br />3. **Check each triangle:**<br /> * **Triangle GHI:** Angles 65°, 65°, (180° - 65° - 65° = 50°). Not similar to ΔABC.<br /> * **Triangle JKL:** Angles 65°, 45°, (180° - 65° - 45° = 70°). Similar to ΔABC.<br /> * **Triangle PQR:** Angles 45°, 70°, (180° - 45° - 70° = 65°). Similar to ΔABC.<br /> * **Triangle DEG:** Angles 70°, 65°, (180° - 70° - 65° = 45°). Similar to ΔABC.<br /> * **Triangle MNO:** Angles 70°, 95°, (180° - 70° - 95° = 15°). Not similar to ΔABC.<br /><br />Therefore, the triangles similar to ΔABC are **Triangle JKL, Triangle PQR, and Triangle DEG**.<br />