To solve the problem, we use the key theorem of circles: the central angle subtended by an arc is twice the inscribed angle subtended by the same arc.

Step 1: Identify the angles

Assume the problem states that the inscribed angle ∠ACB (where C is on the circle) is 50°. The central angle ∠AOB (O being the center) subtends the same arc AB as ∠ACB.

Step 2: Apply the theorem

Central angle = 2 × inscribed angle
∠AOB = 2 × ∠ACB = 2 × 50° = 100°

Answer: 100°

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