Answer:
Part (A) → x = 5
Part (B) → m(arc RS) = 55°
Step-by-step explanation:
In the picture attached,
RU and SV are the diameters of the given circle.
Part (A),
Since RU is the diameter,
m(arc RVU) = 180°
m(arc RV) + m(arc VU) = 180°
(24x + 5) + (10x + 5) = 180
34x + 10 = 180
34x = 170
x = [tex]\frac{170}{34}[/tex]
x = 5
Part (B),
Since m(arc RS) = m(arc VU) [Angles intercepted by these arcs at the center are equal because they are the vertical angles]
m(arc RS) = (10x + 5)
= (10×5 + 5)
= 55°
