Question

Which of the following cannot be an interior angle of a regular polygon?
(a) 168°
(b) 162°
(c) 154°
(d) 156°​

Answer 1

Answer:

if 360/ exterior angle is a natural number, then that angle is possible otherwise not

exterior angle = 180 - interior angle

(c) exterior angle = 180 - 154 = 26

number of sides = 360/26 = 180/13 which is not possible

Hence (c) is answer

Answer 2

cannot be an interior angle of a regular polygon is option C 154°