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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!

What is the degree of the measure of the minor arc QS? Answer choices are A. 10 B-example-1
User Proseidon
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4.3k points

1 Answer

5 votes

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\°

User Saranga Athukorale
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