OG详解-OG1 数学1 Q22

Choice C is correct. It’s given that the measure of angle R is 2π​3​ radians, and the measure of T 5​π12​ radians greater than the measure of angle R. Therefore, the measure of angle T is equal to radians. Multiplying 2π​3 by 44​​  to get a common denominator with 5π​12​yields 8​π12​. Therefore, is equivalent to  Therefore, the measure of angle T  is 13​π12​ radians. The measure of angle T , in degrees, can be found by multiplying its measure, in radians, by 180π​​. This yields  , which is equivalent to 195 degrees. Therefore, the measure of angle T is 19 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.