Answer:
x = 7 , VS = 6
Explanation:
• If two chords of a circle are equidistant from the centre of the circle then they are congruent.
given ZU and ZV = 5
then the chords QR and ST are equidistant from the centre and are congruent , that is
QR = ST
2x - 2 = 12 ( add 2 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
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• If a radius is perpendicular to a chord then it bisects it.
radius ZY is perpendicular to chord ST and bisects it, so
VS =
× ST =
× 12 = 6