This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Let's determine the values of x, y, z for each figure using circle theorems. The key theorem provided is: "Angle at centre = 2 × Angle at circumference". Figure 1: Step 1: Identify the angles. The angle at the center subtending arc BC is BOC = 100^. The angle at the circumference subtending the same arc BC is BAC = x. Step 2: Apply the theorem. BOC = 2 × BAC 100^ = 2x Step 3: Solve for x. x = 100