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=(1)/(2)(AB)`

Where x = 34. Let's solve

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