Convert the angle theta=(257 pi)/(360) radians to degrees. Express your answer exactly. theta=◻^(@)

Understanding radians and degrees: Understand the relationship between radians and degrees. To convert an angle from radians to degrees, we use the conversion factor that 180 degrees is equal to π radians.Setting up the conversion: Set up the conversion from radians to degrees. theta in degrees = theta in radians * (180 degrees / π radians)Substituting the given value: Substitute the given value of theta in radians into the conversion formula. theta in degrees = ((257 pi) / 360) * (180 / π)Simplifying the expression: Simplify the expression by canceling out the π terms and multiplying the remaining terms. theta in degrees = (257 * 180) / 360Performing the multiplication and division: Perform the multiplication and division to find the value of theta in degrees. theta in degrees = (257 * 180) / 360 theta in degrees = 46260 / 360 theta in degrees = 128.5

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Convert the angle
theta=(257 pi)/(360) radians to degrees.
Express your answer exactly.

theta=◻^(@)

Convert the angle $\theta=\frac{257 \pi}{360}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^{\circ}$

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Q. Convert the angle

\theta=\frac{257 \pi}{360}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Understanding radians and degrees: Understand the relationship between radians and degrees. $\newline$ To convert an angle from radians to degrees, we use the conversion factor that $180^\circ$ is equal to $\pi$ radians.
Setting up the conversion: Set up the conversion from radians to degrees. $\theta$ in degrees = $\theta$ in radians $\times$ $\left(\frac{180 \text{ degrees}}{\pi \text{ radians}}\right)$
Substituting the given value: Substitute the given value of $\theta$ in radians into the conversion formula. $\theta \text{ in degrees} = \left(\frac{257 \pi}{360}\right) \times \left(\frac{180}{\pi}\right)$
Simplifying the expression: Simplify the expression by canceling out the $\pi$ terms and multiplying the remaining terms. $\theta \text{ in degrees} = \left(\frac{257 \times 180}{360}\right)$
Performing the multiplication and division: Perform the multiplication and division to find the value of $\theta$ in degrees. $\newline$ $\theta$ in degrees $= (257 \times 180) / 360$ $\newline$ $\theta$ in degrees $= 46260 / 360$ $\newline$ $\theta$ in degrees $= 128.5$