If the sum of two angles is 135° and their difference is π/12 , then the circular measure of the greater angle is
$$π/12 = 15 degrees$$
For ease of calculation, let us convert all the angles into degrees and finally, convert them into radians.
x + y = 135
x - y = 15
=> 2x =150
x = 75 or $$5π/12$$
Option C is the right answer.
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