Question

the sum of angle of a polygon is 5400
a. how many sides does it have?
b. what is the sum of the angles of a polygon with one side less?
c. what is the sum of the angles of a polygon with two sides more?​

Answer 1

Answer:

the sum of angle of a polygon is 5400

a. how many sides does it have?

b. what is the sum of the angles of a polygon with one side less?

c. what is the sum of the angles of a polygon with two sides more?

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.