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
Step 1: Identify the central angle. The chord AB subtends an angle of 140^ at the center O of the circle. Step 2: State the theorem. The angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at a point on the remaining circumference: _center = 2 × _circumference. Step 3: Set up the formula for the angle at the circumference. _circumference = (1)/(2) _center Step 4: Substitute the given value. _circumference = (1)/(2) × 140^ Step 5: Simplify. _circumference = 70^ Final answer: 70^