An inscribed angle has a measure of 1/2 of the intercepting arc. Since our angle is 48°, we can set up the equation [tex]48=\frac{1}{2}x[/tex] to represent this. Divide both sides by 1/2:
[tex]\frac{48}{\frac{1}{2}}=\frac{\frac{1}{2}x}{\frac{1}{2}}
\\ 48 \div \frac{1}{2} = x
\\ \frac{48}{1} \div \frac{1}{2} = x
\\ \frac{48}{1}*\frac{2}{1} = x
\\ \frac{96}{1}=x
\\ 96=x[/tex]
The measure of the intercepted arc is 96°.
