Question

If you have a circle with a central angle of 80 degrees, what is the degrees of its inscribed angle?

Answer 1

The measure of the inscribed angle is
`40^(\circ)`

Explanation:

Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.

So, if the measure of the central angle is
`80^(\circ)`, so the measure of the corresponding inscribed angle is:

`(1)/(2)* 80^(\circ)=40^(\circ)`