In an Isosceles trapezoid, it is known that the base angles have equal measures, and non-congruent angles are supplementary.
The non-congruent angles ∠RAP and ∠APTfrom the figure have measures 6x° and (2x+4)°, respectively.
Since they must be supplementary, it follows that their sum is 180°:
[tex]\begin{gathered} 6x+2x+4=180 \\ \Rightarrow8x+4=180\Rightarrow8x=180-4 \\ \Rightarrow8x=176\Rightarrow\frac{8x}{8}=\frac{176}{8} \\ \Rightarrow x=22 \end{gathered}[/tex]
Hence, the value of x is 22. The correct option is B.
