Answer:
Option C. m VU = 64°
Explanation:
In the circle O, RT and SU are the diameters. Since ∠ROS = ∠TOU (Opposite angles)
13x = 15x - 8
15x - 13x = 8
2x = 8
x = 4
Therefore ∠ROS = 13×4 = 52°
and ∠TOU = (15x - 8) = 52°
Since we know the sum of all angles at a point on the given line = 180°
Therefore ∠UOV + ∠ROV + ∠SOR = 180°
m RV = m RU (given)
∠ROV = ∠VOU
∠ROV + ∠ROV + ∠SOR = 180
2∠ROV + 52 = 180
2∠ROV = 180 - 52 = 128°
∠ROV = 128/2 = 64°
Or m VU = 64°