The measure of the angle theta in degrees, whose value in radians is 29pi/15, is 348 degrees.
To convert the measure of angle from radians to degrees, multiply the angle which is in radian with 180 and divide it with pi (π).
The formula used to convert the measure of angle from radians to degrees is,
[tex]\rm Angle\; in \; degree=Angle\; in \; radian\times\dfrac{180}{\pi }[/tex]
The angle in radian which has to be converted in degree is,
[tex]\theta=\dfrac{29\pi}{5}[/tex]
Put this value in the above formula as,
[tex]\theta=\dfrac{29\pi}{15}\times\dfrac{180}{\pi}\\\theta=348^o[/tex]
Thus, the measure of the angle theta in degrees, whose value in radians is 29pi/15, is 348 degrees.
Learn more about the radians to degrees here;
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