In the regular nonagon shown, what is the measure of angle x? a 36° b 40° c 45° d 60°

180-140=40

b is the answer

Option B.

Step-by-step explanation:

A nonagon has 9 vertices. So, the number of exterior angles is 9.

We know that sum of exterior angles of any polygon is 360 degrees. So,

Sum of exterior angles of a nonagon = 360 degrees

The measures of all exterior angles of regular nonagon are same.

We need to find the measure of an exterior angle.

The measure of an exterior angle of a regular polygon is

Therefore, the correct option is b.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16