Convert the angle theta=(3pi)/(5) radians to degrees. Express your answer exactly. theta=◻" 。 "

Conversion Factor: To convert radians to degrees, we use the conversion factor that π radians is equal to 180 degrees. The formula to convert from radians to degrees is: theta (in degrees) = theta (in radians) * (180/π)Apply Formula: Now, we apply the formula to the given angle theta=(3π)/(5) radians. theta (in degrees) = (3π)/(5) * (180/π)Simplify Expression: We can simplify the expression by canceling out the π in the numerator and the denominator. theta (in degrees) = (3)/(5) * 180Multiply and Divide: Now, we multiply 3 by 180 and then divide by 5 to get the degree measure. theta (in degrees) = (3 * 180) / 5 theta (in degrees) = 540 / 5Find Degree Measure: Finally, we perform the division to find the exact degree measure. theta (in degrees) = 108

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Convert the angle
theta=(3pi)/(5) radians to degrees.
Express your answer exactly.

theta=◻" 。 "

Convert the angle $\theta=\frac{3 \pi}{5}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^{\circ}$

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Q. Convert the angle

\theta=\frac{3 \pi}{5}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^{\circ}

Conversion Factor: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees. The formula to convert from radians to degrees is: $\newline$ theta (in degrees) = theta (in radians) $\times \left(\frac{180}{\pi}\right)$
Apply Formula: Now, we apply the formula to the given angle $\theta=\frac{3\pi}{5}$ radians. $\theta$ (in degrees) = $\frac{3\pi}{5} \times \frac{180}{\pi}$
Simplify Expression: We can simplify the expression by canceling out the $\pi$ in the numerator and the denominator. $\theta$ (in degrees) = $\frac{3}{5} \times 180$
Multiply and Divide: Now, we multiply $3$ by $180$ and then divide by $5$ to get the degree measure. $\newline$ $\theta$ (in degrees) = $(3 \times 180) / 5$ $\newline$ $\theta$ (in degrees) = $540 / 5$
Find Degree Measure: Finally, we perform the division to find the exact degree measure. $\theta$ (in degrees) = $108$