Answer:
Explanation:
The angle STV is an inscribed angle, i.e. an angle with its vertex (point T) on a circle and formed by two intersectic chords.
As per the inscribed angle therorem, this angle is half the central angle.
Thus, the central angle is 82º × 2 = 164º.
That central angle is the measure of the arc SVU.
By the construction, the measure of the arc SV plus the measure of the arc VU is equal to the measure of the arc SU.
Thus, you have:
- arc SVU = arc SV + arc VU
- arc VU = 164º - 120º = 44º
