Let be a positive angle. If the number of degrees in is divided by the number of radians in , then an irrational number 180 results. If the number of degrees in is multiplied by the number of radians in , then an irrational number 125 9 results. The angle must be equal to

Step-by-step solution

From going by the options, option (A), =30^ , as we know that 180^ = radian 30^ = 30 180 radian Now according to question, 30^ 180^ 30^ = 180 Now number of degree in is multiplied by number of radians in . 30^ 30 180 = 900 180 = 10 2 =5 125 9 From option (B), aligned & =45^ & 45^ = 45^ 180 radian aligned Now according to question, 45^ 180 45^ = 180 Now number of degree in is multiplied by number of radian in . 45^ 45^ 180^ = 45 4 125 9 From option (C), =50^ As we know that 180^ = radian 50^ = 50 180 radian Now acco