Answer:
[tex]\theta=128.5^{\circ}[/tex]
Step-by-step explanation:
The given angle measure is
[tex]\theta=\dfrac{257\pi}{360}[/tex]
We need to convert the radian measure to degree.
To convert radian to degree, multiply the given measure by [tex]\frac{180^{\circ}}{\pi}[/tex].
[tex]\theta=\dfrac{257\pi}{360}\times \dfrac{180^{\circ}}{\pi}[/tex]
On simplification, we get
[tex]\theta=128.5^{\circ}[/tex]
Hence, the required measure is [tex]\theta=128.5^{\circ}[/tex].
