The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is __________.

Question

Fill in the blanks to make the statements true.

The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is __________.

Answer 1

The number of sides of a regular polygon, where each exterior angle has a measure of 36^o, is 10.

We know that, the measure of each exterior angle of a regular polygon is 360^o/n.

Where ‘n’ is the number of sides in the polygon,

Then, exterior angle has a measure of 36^o

So, 36^o = 360^o/n

n = 360^o/36^o

n = 10