1. **Stating the problem:** We are given two parts: 5.a with an angle of 41° and 5.b with chord AB = 110°. 2. **Understanding the problem:** We need to analyze the given angles and chord length in the context of a circle with inscribed angles. 3. **Key formulas and rules:** - The measure of an inscribed angle is half the measure of its intercepted arc. - The chord length is related to the central angle and radius but here we focus on angle relationships. 4. **Step 5.a:** Given angle 41°, if this is an inscribed angle, the intercepted arc is: $$\text{Arc} = 2 \times 41^\circ = 82^\circ$$ 5. **Step 5.b:** Given chord AB = 110°, this likely refers to the measure of the arc AB intercepted by chord AB. If the arc AB is 110°, then the inscribed angle subtending this arc is: $$\text{Inscribed angle} = \frac{110^\circ}{2} = 55^\circ$$ 6. **Summary:** - For 5.a, the intercepted arc is 82°. - For 5.b, the inscribed angle subtending chord AB is 55°. **Final answers:** - 5.a: Intercepted arc = 82° - 5.b: Inscribed angle = 55°