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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.

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 class=

Respuesta :

Using the inscribed angle theorem, we have

[tex]x=\frac{1}{2}(AB)[/tex]

Where x = 34. Let's solve

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

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