Answer:
arc RU is 149°
Step-by-step explanation:
Use the Intersecting cords theorem : the measure of the angle is half the sum of the intercepted arcs and the supplementary angle rule.
Angle RVS is given as 88° so subtracting from 180 to get the supplement, we get the measure of angle RVU is 92° That is the Angle that intercepts the arc RU
Use the intersecting chord and intercepted angle formula to set up the equation, let x be the unknown measure of arc RU. The other intercepted Arc ST is given: 35°
[tex]92=\frac{x+35}{2}[/tex] solve for x.
92 ×2= x+35
184 = x+ 35
184 -35 = x . x = 149 . That means Arc RU measures 149°
