10. Determine if the two triangles are similar. Justify your answer.

Analysis:

• Triangle 1 (left): Angles are 75° and 45°. The third angle is 180° - 75° - 45° = 60°.
• Triangle 2 (right): Angles are 45° and 60°. The third angle is 180° - 45° - 60° = 75°.
• Both triangles have the same set of angles: 45°, 60°, and 75°.

Answer: Yes, the two triangles are similar by the Angle-Angle-Angle (AAA) similarity criterion because they have the same three angles.