Question

solve for x. point c is the center of the circle.

Explanation:

Step1: Recall the central - inscribed angle relationship

The measure of an inscribed angle is half the measure of the central angle that subtends the same arc.

Step2: Identify the central and inscribed angles

The inscribed angle is \(37^{\circ}\) and the central angle is \(x^{\circ}\).
Since the central angle is twice the inscribed angle subtending the same arc, we have \(x = 2\times37\).

Answer:

\(74\)