Question

If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? (With steps plz)

Answer 1

32

Explanation:

Answer 2

32

Explanation:

Let the polygon has n sides.

Sum of the interior angles of a polygon is given by the formula:

`\therefore (n-2)* 180\degree = 5400\degree\\\therefore (n-2) = (5400\degree)/(180\degree)\\\\\therefore (n-2) = 30\\\\\therefore n = 30+2\\\\\therefore n = 32\\`