Answer: 25.0
Step-by-step explanation:
In the given figure ST is a diameter of the Circle.
The central angle subtended by a diameter in a circle is 180°.
Then, According to the given figure , we have
[tex](2x+8)^{\circ}+(3x-14)^{\circ}+(3x-14)^{\circ}=180^{\circ}\\\\\Rightarrow\ 2x+8+3x-14+3x-14=180\\\\\Rightarrow\ 8x-20=180\\\\\Rightarrow\ 8x=180+20\\\\\Rightarrow\ 8x=200\\\\\Rightarrow\ x=\dfrac{200}{8}\\\\\Rightarrow\ x==25[/tex]
Hence, the value of x is 25.0.
