Applying the chord theorem, since chords RS and TU are equal, then the measure of arc RS is: 106°.
What is the Chord Theorem?
The chord theorem states that if two chords in a circle are equal in length, then their corresponding minor arcs will also be equal in measure.
Since chords RS = TU, therefore:
m(RS) = m(TU)
Substitute
8x - 14 = 7x + 1
8x - 7x = 14 + 1
x = 15
m(RS) = 8x - 14
Plug in the value of x
m(RS) = 8(15) - 14
m(RS) = 106°
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