Answer:
Step-by-step explanation:
The formula for arc length in terms of degrees is
[tex]A.L.=\frac{\theta}{360}*2\pi r[/tex] and we have everything we need to fill in to find the angle measure.
[tex]123.53=\frac{\theta}{360}*56\pi[/tex] which is the same as
[tex]123.53=\frac{56\pi \theta}{360}[/tex] and
[tex]360(123.53)=56\pi \theta[/tex] and
[tex]\frac{360(123.53)}{56\pi}=\theta[/tex] so
θ = 253°
