Question

Find the number of sides of a regular polygon, whose each
exterior angle is a measure of 90°​

Answer 1

360 ÷ Exterior angle = No. if sides

In the polygon,

Exterior angle = 90°

Therefore,

Number of sides = 360/90 = 4

The polygon will have 4 sides.

Answer 2

Answer:

Let the number of sides be n

So angle sum of exterior angle = 360 degree.

n×90=360

n=360 divided by 90

n=4

So, the regular polygon has 4 sides.