Answer:
(a) 5040°
(b) 168°
(c) 12°
Step-by-step explanation:
(a) The sum of angles in a polygon of N sides is given as:
S = (N - 2) * 180
For a 30-gon, N = 30.
Therefore, the sum of the angles in the 30-gon will be:
S = (30 - 2) * 180
S = 28 * 180
S = 5040°
(b) To find each interior angle, we simply divide S by 30:
Interior Angle = 5040/30
Interior Angle = 168°
(c) Each exterior angle of a polygon is gotten by subtracting the interior angle from 180°.
Hence, each exterior angle is:
180 - 168 = 12°
