OG详解-OG8 数学1 Q19

Choice C is correct. It’s given that the measure of angle R is2π​3​radians, and the  measure of angle T is 5​π12​radians greater than the measure of angle R. Therefore, the measure of angle T is equal to 2π3​+5π​12​  radians. Multiplying 2π3​​by 4​4​ to get a common denominator with  5π​12​ yields 8π​12. Therefore,  2π3​+5π​12​ is equivalent to 8π3​+5π​12​, or 13​π12​ . Therefore, the measure of angle T is13​π12radians. The measure of angle T,  in degrees, can be found by multiplying its measure, in radians, by 180π​​ . This yields 13​π12 × 180π​​ , which is equivalent to 195 degrees. Therefore, the measure of angle T is 195 degrees.