1. The problem involves several geometric constructions: drawing lines, dividing them proportionally, constructing angles by bisection, and constructing triangles with inscribed and circumscribed circles. 2. For line bisecting and proportional division, use the segment division formula and compass methods. 3. For angle bisection, use the property that bisecting an angle divides it into two equal parts, so bisecting 45° gives 22\frac{1}{2}°, etc. 4. For triangle construction, use the given side lengths and angles, applying the Law of Cosines or geometric construction methods. 5. For inscribed circles, construct angle bisectors; for circumscribed circles, construct perpendicular bisectors of sides. Since the user requested drawings images, which cannot be generated in this text-based format, I can only provide the mathematical and construction steps. Final note: For actual drawings, use a compass, ruler, and protractor following the steps above.