a + b + c + d + e = 540 Let say first term = a Common difference d
n
2
[2a+(n−1)d]=540 ⇒ a+2d=108 Case-1 d = 0 a = l08 (l08, 108, 108, l08, 108) Case-2 d = 1 (106, 107, 108, 109, 110) Similarly it goes up to d = 35 for d > 35, interior angle > 180° which is not possible So form d = 0 to d = 35 total 36 tuples are possible