1.1. Given: (i) \( A=60^{\circ} \) and \( B=30^{\circ} \) (ii) \( A=110^{\circ} \) and \( B=50^{\circ} \) (iii) \( A=225^{\circ} \) and \( B=135^{\circ} \)

Did you know that angles can tell us a lot about the world around us? For instance, when you mix angles of different measures in geometry, you can create unique shapes and intriguing designs! In your cases, angles \( A \) and \( B \) can help determine properties of triangles, the nature of parallel lines, or even the trajectory of a flying object! Plus, if you ever feel lost while working with angles, remember that understanding or drawing a diagram can work wonders! Common mistakes often arise from forgetting to adjust angle measures, particularly when they're larger than \( 180^\circ \) or dealing with complementary and supplementary angles. Always double-check your work, and you’ll conquer those angles in no time!