Question

Angle X is an inscribed angle in the given circle. Determine the measure of AB. Explain the relationshipbetween an inscribed angle and its intercepted arc.

Answer 1

Using the inscribed angle theorem, we have

$x=\frac{1}{2}(AB)$

Where x = 34. Let's solve

$\begin{gathered} 34=\frac{1}{2}(AB) \\ AB=34\cdot2=68 \end{gathered}$Therefore, the arc AB measures 68°.