Question

What is the degree of the measure of the minor arc QS? Answer choices are A. 10 B. 15 C. 20 D. 40 Please show work!

Answer 1

Option D.
`40\°`

Explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

`m<QPS=(1)/(2)(minor\ arc\ QS)`

we have

`m<QPS=20\°` ----> given problem

substitute

`20\°=(1)/(2)(minor\ arc\ QS)`

`40\°=(minor\ arc\ QS)`

Rewrite

`minor\ arc\ QS=40\°`