Find the measureOf an act intercept by and inscribed whose measure is 75°Hent, draw a picture and label it,
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From the arc-angle relationships, we know that the inscribed angle is half of the intercepted arc, that is,
[tex]75=\frac{arcAB}{2}[/tex]Then, by moving the denominator to the left hand side, we get
[tex]\begin{gathered} 2\times75=arcAB \\ \text{arcAB}=150 \end{gathered}[/tex]then, the arcAB measure 150 degrees.