10. Analyze the two triangles shown in the diagram.

Analysis of Figure 10:

• The figure presents two triangles: triangle AMK and triangle BRC.
• Triangle AMK has angles: Angle A = 75°, Angle K = 45°. The sum of these angles is 75° + 45° = 120°. Therefore, Angle M = 180° - 120° = 60°.
• Triangle BRC has angles: Angle B = 45°, Angle C = 60°. The sum of these angles is 45° + 60° = 105°. Therefore, Angle R = 180° - 105° = 75°.
• Comparing the angles, triangle AMK has angles 75°, 45°, 60° and triangle BRC has angles 45°, 60°, 75°. Since all corresponding angles are equal, the two triangles are similar (AAA similarity criterion).