The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
2r Choice C is correct. It’s given that the measure of angle R is 3 radians, and the 5r measure of angle T is 12 radians greater than the measure of angle R. Therefore, the measure of angle T is equal to 2 3 r+ 1 5 2 r radians. Multiplying 2 3 r by 4 to get a 5r 8r 2r+ 5r 4 8r+ 5r common denominator with 12 yields 12. Therefore, 3 12 is equivalent to 12 12, 13r 13r or 12. Therefore, the measure of angle T is 12 radians. The measure of angle T, 180 in degrees, can be found by multiplying its measure, in radians, by r . This yields 13r#180 195 12 r , which is equivalent to degrees. Therefore, the measure of angle T 195 is degrees. 36 SAT PRACTICE TEST #8 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 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.
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