2 years ago

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

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

Answer: $126^{\circ}$

Step-by-step explanation:

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

Thus, arc RS also measures 126 degrees

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