Answer:
x=12
Step-by-step explanation:
- Arc ST measures 26 so that means it central angle measure 26.
- Since all radius are equal, Angle RVU also equal 26 since it a vertical angle.
- RV=VT and UV=US so that any angle those four segment forms will be vertical angle since all radius are equal.
- E.x(Angle RVS and UVT.
Since we know two arcs measure already,
[tex]360 - 26 - 26 = [/tex]
[tex]360 - 52 = 308[/tex]
Then since those are vertical angles, just divide 308 by 2
[tex] \frac{308}{2} = 154[/tex]
Set 15x-26=154
[tex]15x - 26 = 154[/tex]
[tex]15x = 180[/tex]
[tex]x = 12[/tex]
