Question

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

24° 48° 72° 96°

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=(1)/(2)x` to represent this. Divide both sides by 1/2:

`(48)/((1)/(2))=((1)/(2)x)/((1)/(2)) \\ 48 / (1)/(2) = x \\ (48)/(1) / (1)/(2) = x \\ (48)/(1)*(2)/(1) = x \\ (96)/(1)=x \\ 96=x`
The measure of the intercepted arc is 96°.