Answer:
32 vertices
Step-by-step explanation:
Sum of the interior angles of a polygon = 5400 deg.
(n-2)*180 = 5400, or
n-2 = 30, or
n = 32.
So the polygon has 32 sides.
It has 30 triangles.
32(32–3)/2 = 464 diagonals
32 vertices.
The measure of each exterior angle of a regular polygon is 11.25°
The measure of an interior angle of a polygon is given by the formula:
sum of angles = (n -2)180°
GIven that the sum of angles is 5400°
Then;
5400° (n - 2)180°
5400°/180° = (n - 2)
30° = n - 2
n = 30+2
n = 32 sides
Similarly, for an exterior angle, the sum of all the exterior angles is equal to 360°.
For a 32 sided polygon, the measure of the exterior angles will be:
= 360°/32
= 11.25°
Learn more about polygons here:
https://brainly.com/question/12871911?referrer=searchResults
