Question

A polygon has an angle sum of 360 and each angle measures 90 what is the polygon

Answer 1

Here we have to use the sum of angles of a polygon formula which is

S=(n-2)180

Here S=360 and n is unknown, so on substituting the value of S, we will get

360 = (n-2)180

Dividing both sides by 180

2 = n -2

Adding 2 to both sides

n=4

So it must be a quadrilateral with all equal sides. But each angle is 90 degree. THerefore the polygon is a square .