A central angle measures 88°. What is the measure of an inscribed angle that intercepts the same arc?

An inscribed angle is half of the central angle that intercepts the same arc. The central angle is $88^\circ$, so the inscribed angle is $\frac{88^\circ}{2}=44^\circ$, choice G. Choice H ($88^\circ$) is the central angle itself. Choice J ($176^\circ$) doubles the angle instead of halving it, which would apply if you were going from an inscribed angle to its central angle. Choice F ($22^\circ$) halves twice. A useful check is that the inscribed angle's vertex lies on the circle, so it sees the same arc from farther away and appears smaller than the central angle.