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  • 06-04-2019
  • Mathematics
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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 15 C 20 D 40 Please show work class=

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calculista
calculista calculista
  • 15-04-2019

Answer:

Option D. [tex]40\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<QPS=\frac{1}{2}(minor\ arc\ QS)[/tex]

we have

[tex]m<QPS=20\°[/tex] ----> given problem

substitute

[tex]20\°=\frac{1}{2}(minor\ arc\ QS)[/tex]

[tex]40\°=(minor\ arc\ QS)[/tex]

Rewrite

[tex]minor\ arc\ QS=40\°[/tex]

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