SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: state the required theorem
The arc measure is equal to the angle at the center. Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.
STEP 2: Get the equation
[tex]131^{\circ}=6x+26[/tex]
STEP 3: Solve for x
[tex]\begin{gathered} 131=6x+26 \\ 131-26=6x \\ 105=6x \\ \frac{6x}{6}=\frac{105}{6} \\ x=17.5 \end{gathered}[/tex]
Hence, the value of x is
