Question

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

Answer 1

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