kpough16 kpough16

16-06-2022
Mathematics

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Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS

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Medunno13 Medunno13

26-06-2022

Answer: [tex]126^{\circ}[/tex]

Step-by-step explanation:

If we draw RP and PS, then in the quadrilateral formed, we know that [tex]\angle PRQ=\angle PSQ=90^{\circ}[/tex], and since angles in a quadrilateral add to 360 degrees, this means [tex]\angle SPR=126^{\circ}[/tex].

Thus, arc RS also measures 126 degrees

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