Question

What is the value of the letter x in this math problem? A. 1620 B. 40 C.360 D.51.4

Answer 1

Answer:

B. 40

Step-by-step explanation:

Given:

The given shape is nonagon.

It consist of 9 sides.

We need to find the value of exterior angle 'x'.

Solution:

Now we know that;

"The sum of the exterior angles of any polygon is 360 degrees."

Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles.

Since here there is Nonagon then there would be 9 exterior angles.

So measure of angle 'x' = $\frac{360}{9} =40\°$

Hence The value of 'x'  40°.