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!

Question

asked Jan 18, 2020 172k views

1 Answer

Saranga Athukorale · Answer 1 · 2020-01-22T08:28:57+0000

Answer:

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

$minor\ arc\ QS=40\°$