Question

Find the measureOf an act intercept by and inscribed whose measure is 75°Hent, draw a picture and label it,

Answer 1

From the arc-angle relationships, we know that the inscribed angle is half of the intercepted arc, that is,

$75=\frac{arcAB}{2}$

Then, by moving the denominator to the left hand side, we get

$\begin{gathered} 2\times75=arcAB \\ \text{arcAB}=150 \end{gathered}$

then, the arcAB measure 150 degrees.