The formula for the arc length is,
[tex]L=\theta r[/tex]Here, angle is in radian.
Determine the angle of the sector.
[tex]\begin{gathered} 130=28\cdot\theta \\ \theta=\frac{130}{28} \\ =4.642 \\ \approx4.6 \end{gathered}[/tex]Thus, measure of angle of sector is 4.6 radians.