If the polygon shown below is a regular nonagon, what is the value of x

Step-by-step explanation:

the picture of the question in the attached figure

step 1

Find the measure of the interior angle of a regular nonagon

The formula to calculate the measure of the interior angle in any polygon is given by

where

n is the number of sides

In this problem we have

n=9 sides

substitute

step 2

Find the value of x

Remember that

The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees

so

solve for x

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