Question

find the measure of exteriar angle of a regular polygon of 15 sides​

Answer 1

Answer:

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

Answer 2

Answer:

the answer is 24°.

Step-by-step explanation:

the sum of all the interior angles of a polygon of n sides=(n-2)×180°

according to the question,

the polygon has 15 sides, so, the sum of all the interior angles= (15-2)×180°=13×180°=2340°

as the polygon is regular, all the interior angles will be equal.

measurement of an int. angle= $\frac{2340}{15}$=156°

measurement of its exterior angle= 180°-156°=24°