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

Analysis:

• Triangle 1 (left, triangle ABC): Has a right angle at C (90°), an angle of 60° at B. The third angle at A is 180° - 90° - 60° = 30°.
• Triangle 2 (right, triangle MNK): Has a right angle at K (90°), an angle of 30° at M. The third angle at N is 180° - 90° - 30° = 60°.
• Both triangles have the same set of angles: 30°, 60°, and 90°.

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