Question

An inscribed angle has a measure of 48°. Determine the measure of the intercepted arc.

Answer 1

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