The measure of angle R is 2 π 3 radians. The measure of angle T is

Choice C is correct. It’s given that the measure of angle $R$ is $\frac{2}{3}$ radians, and the measure of angle $T$ is $\frac{5}{12}$ radians greater than the measure of angle $R$. Therefore, the measure of angle $T$ is equal to $\frac{2}{3}+\frac{5}{12}$ radians. Multiplying $\frac{2}{3}$ by $\frac{4}{4}$ to get a common denominator with $\frac{5}{12}$ yields $\frac{8}{12}$. Therefore, $\frac{2}{3}+\frac{5}{12}$ is equivalent to $\frac{8}{12}+\frac{5}{12}$, or $\frac{13}{12}$. Therefore, the measure of angle $T$ is $\frac{13}{12}$ radians. The measure of angle $T$, in degrees, can be found by multiplying its measure, in radians, by $\frac{180}{}$. This yields $\frac{13}{12}/mo><mfrac><mn>180</mn><mi></mi></mfrac>$, which is equivalent to $195$ degrees. Therefore, the measure of angle $T$ is $195$ degrees.

Choice A is incorrect. This is the number of degrees that the measure of angle $T$ is greater than the measure of angle $R$.

Choice B is incorrect. This is the measure of angle $R$, in degrees.

Choice D is incorrect and may result from conceptual or calculation errors.