Answer:
m(arc)RST = 154 deg
Explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 77 + x + 103 = 180
2x + 180 = 180
2x = 0
x = 0
m<RST = x + 77 = 0 + 77 = 77
The measure of an inscribed angle is half the measure of its subtended arc.
m<RST = (1/2)m(arc)RST
77 = (1/2)m(arc)RST
154 = m(arc)RST
m(arc)RST = 154 deg